diff --git a/doc/api/stream.md b/doc/api/stream.md
index 7576fb9da385d6..c2a257cb5a5af4 100644
--- a/doc/api/stream.md
+++ b/doc/api/stream.md
@@ -499,6 +499,15 @@ write('hello', () => {
 
 A Writable stream in object mode will always ignore the `encoding` argument.
 
+##### writable.destroy([error])
+<!-- YAML
+added: REPLACEME
+-->
+
+Destroy the stream, and emit the passed error. After this call, the
+writible stream has ended. Implementors should not override this method,
+but instead implement [`writable._destroy`][writable-_destroy].
+
 ### Readable Streams
 
 Readable streams are an abstraction for a *source* from which data is
@@ -1070,6 +1079,16 @@ myReader.on('readable', () => {
 });
 ```
 
+##### readable.destroy([error])
+<!-- YAML
+added: REPLACEME
+-->
+
+Destroy the stream, and emit `'error'`. After this call, the
+readable stream will release any internal resources.
+Implementors should not override this method, but instead implement
+[`readable._destroy`][readable-_destroy].
+
 ### Duplex and Transform Streams
 
 #### Class: stream.Duplex
@@ -1109,6 +1128,16 @@ Examples of Transform streams include:
 * [zlib streams][zlib]
 * [crypto streams][crypto]
 
+##### transform.destroy([error])
+<!-- YAML
+added: REPLACEME
+-->
+
+Destroy the stream, and emit `'error'`. After this call, the
+transform stream would release any internal resources.
+implementors should not override this method, but instead implement
+[`readable._destroy`][readable-_destroy].
+The default implementation of `_destroy` for `Transform` also emit `'close'`.
 
 ## API for Stream Implementers
 
@@ -1248,6 +1277,8 @@ constructor and implement the `writable._write()` method. The
     [`stream._write()`][stream-_write] method.
   * `writev` {Function} Implementation for the
     [`stream._writev()`][stream-_writev] method.
+  * `destroy` {Function} Implementation for the
+    [`stream._destroy()`][writable-_destroy] method.
 
 For example:
 
@@ -1358,6 +1389,15 @@ The `writable._writev()` method is prefixed with an underscore because it is
 internal to the class that defines it, and should never be called directly by
 user programs.
 
+#### writable.\_destroy(err, callback)
+<!-- YAML
+added: REPLACEME
+-->
+
+* `err` {Error} An error.
+* `callback` {Function} A callback function that takes an optional error argument
+  which is invoked when the writable is destroyed.
+
 #### Errors While Writing
 
 It is recommended that errors occurring during the processing of the
@@ -1428,6 +1468,8 @@ constructor and implement the `readable._read()` method.
     a single value instead of a Buffer of size n. Defaults to `false`
   * `read` {Function} Implementation for the [`stream._read()`][stream-_read]
     method.
+  * `destroy` {Function} Implementation for the [`stream._destroy()`][readable-_destroy]
+    method.
 
 For example:
 
@@ -2079,4 +2121,8 @@ readable buffer so there is nothing for a user to consume.
 [stream-read]: #stream_readable_read_size
 [stream-resume]: #stream_readable_resume
 [stream-write]: #stream_writable_write_chunk_encoding_callback
-[zlib]: zlib.html
+[readable-_destroy]: #stream_readable_destroy_err_callback
+[writable-_destroy]: #stream_writable_destroy_err_callback
+[TCP sockets]: net.html#net_class_net_socket
+[Transform]: #stream_class_stream_transform
+[Writable]: #stream_class_stream_writable
diff --git a/lib/_stream_duplex.js b/lib/_stream_duplex.js
index 4422b62aac3250..7440cd08729e1c 100644
--- a/lib/_stream_duplex.js
+++ b/lib/_stream_duplex.js
@@ -76,3 +76,33 @@ function onend() {
 function onEndNT(self) {
   self.end();
 }
+
+Object.defineProperty(Duplex.prototype, 'destroyed', {
+  get() {
+    if (this._readableState === undefined ||
+        this._writableState === undefined) {
+      return false;
+    }
+    return this._readableState.destroyed && this._writableState.destroyed;
+  },
+  set(value) {
+    // we ignore the value if the stream
+    // has not been initialized yet
+    if (this._readableState === undefined ||
+        this._writableState === undefined) {
+      return;
+    }
+
+    // backward compatibility, the user is explicitly
+    // managing destroyed
+    this._readableState.destroyed = value;
+    this._writableState.destroyed = value;
+  }
+});
+
+Duplex.prototype._destroy = function(err, cb) {
+  this.push(null);
+  this.end();
+
+  process.nextTick(cb, err);
+};
diff --git a/lib/_stream_readable.js b/lib/_stream_readable.js
index f6501b62a57be3..9666c7d6fb2a18 100644
--- a/lib/_stream_readable.js
+++ b/lib/_stream_readable.js
@@ -30,6 +30,7 @@ const Buffer = require('buffer').Buffer;
 const util = require('util');
 const debug = util.debuglog('stream');
 const BufferList = require('internal/streams/BufferList');
+const destroyImpl = require('internal/streams/destroy');
 var StringDecoder;
 
 util.inherits(Readable, Stream);
@@ -99,6 +100,9 @@ function ReadableState(options, stream) {
   this.readableListening = false;
   this.resumeScheduled = false;
 
+  // has it been destroyed
+  this.destroyed = false;
+
   // Crypto is kind of old and crusty.  Historically, its default string
   // encoding is 'binary' so we have to make this configurable.
   // Everything else in the universe uses 'utf8', though.
@@ -129,12 +133,44 @@ function Readable(options) {
   // legacy
   this.readable = true;
 
-  if (options && typeof options.read === 'function')
-    this._read = options.read;
+  if (options) {
+    if (typeof options.read === 'function')
+      this._read = options.read;
+
+    if (typeof options.destroy === 'function')
+      this._destroy = options.destroy;
+  }
 
   Stream.call(this);
 }
 
+Object.defineProperty(Readable.prototype, 'destroyed', {
+  get() {
+    if (this._readableState === undefined) {
+      return false;
+    }
+    return this._readableState.destroyed;
+  },
+  set(value) {
+    // we ignore the value if the stream
+    // has not been initialized yet
+    if (!this._readableState) {
+      return;
+    }
+
+    // backward compatibility, the user is explicitly
+    // managing destroyed
+    this._readableState.destroyed = value;
+  }
+});
+
+Readable.prototype.destroy = destroyImpl.destroy;
+Readable.prototype._undestroy = destroyImpl.undestroy;
+Readable.prototype._destroy = function(err, cb) {
+  this.push(null);
+  cb(err);
+};
+
 // Manually shove something into the read() buffer.
 // This returns true if the highWaterMark has not been hit yet,
 // similar to how Writable.write() returns true if you should
diff --git a/lib/_stream_transform.js b/lib/_stream_transform.js
index 107a9e9f2c39a8..1aa423fffa75fe 100644
--- a/lib/_stream_transform.js
+++ b/lib/_stream_transform.js
@@ -196,6 +196,14 @@ Transform.prototype._read = function(n) {
 };
 
 
+Transform.prototype._destroy = function(err, cb) {
+  Duplex.prototype._destroy.call(this, err, (err2) => {
+    cb(err2);
+    this.emit('close');
+  });
+};
+
+
 function done(stream, er, data) {
   if (er)
     return stream.emit('error', er);
diff --git a/lib/_stream_writable.js b/lib/_stream_writable.js
index c3c2ce0710ad18..4e2a19f12c822f 100644
--- a/lib/_stream_writable.js
+++ b/lib/_stream_writable.js
@@ -32,6 +32,7 @@ const util = require('util');
 const internalUtil = require('internal/util');
 const Stream = require('stream');
 const Buffer = require('buffer').Buffer;
+const destroyImpl = require('internal/streams/destroy');
 
 util.inherits(Writable, Stream);
 
@@ -66,6 +67,9 @@ function WritableState(options, stream) {
   // when 'finish' is emitted
   this.finished = false;
 
+  // has it been destroyed
+  this.destroyed = false;
+
   // should we decode strings into buffers before passing to _write?
   // this is here so that some node-core streams can optimize string
   // handling at a lower level.
@@ -192,6 +196,9 @@ function Writable(options) {
 
     if (typeof options.writev === 'function')
       this._writev = options.writev;
+
+    if (typeof options.destroy === 'function')
+      this._destroy = options.destroy;
   }
 
   Stream.call(this);
@@ -563,3 +570,30 @@ function onCorkedFinish(corkReq, state, err) {
     state.corkedRequestsFree = corkReq;
   }
 }
+
+Object.defineProperty(Writable.prototype, 'destroyed', {
+  get() {
+    if (this._writableState === undefined) {
+      return false;
+    }
+    return this._writableState.destroyed;
+  },
+  set(value) {
+    // we ignore the value if the stream
+    // has not been initialized yet
+    if (!this._writableState) {
+      return;
+    }
+
+    // backward compatibility, the user is explicitly
+    // managing destroyed
+    this._writableState.destroyed = value;
+  }
+});
+
+Writable.prototype.destroy = destroyImpl.destroy;
+Writable.prototype._undestroy = destroyImpl.undestroy;
+Writable.prototype._destroy = function(err, cb) {
+  this.end();
+  cb(err);
+};
diff --git a/lib/fs.js b/lib/fs.js
index 0f24ee2bb8af3d..de5d6dcfb0fcbf 100644
--- a/lib/fs.js
+++ b/lib/fs.js
@@ -1986,11 +1986,10 @@ ReadStream.prototype._read = function(n) {
 };
 
 
-ReadStream.prototype.destroy = function() {
-  if (this.destroyed)
-    return;
-  this.destroyed = true;
-  this.close();
+ReadStream.prototype._destroy = function(err, cb) {
+  this.close(function(err2) {
+    cb(err || err2);
+  });
 };
 
 
@@ -2157,7 +2156,7 @@ WriteStream.prototype._writev = function(data, cb) {
 };
 
 
-WriteStream.prototype.destroy = ReadStream.prototype.destroy;
+WriteStream.prototype._destroy = ReadStream.prototype._destroy;
 WriteStream.prototype.close = ReadStream.prototype.close;
 
 // There is no shutdown() for files.
diff --git a/lib/internal/process/stdio.js b/lib/internal/process/stdio.js
index adfe1e8e0b049f..db544b15337142 100644
--- a/lib/internal/process/stdio.js
+++ b/lib/internal/process/stdio.js
@@ -18,10 +18,12 @@ function setupStdio() {
   function getStdout() {
     if (stdout) return stdout;
     stdout = createWritableStdioStream(1);
-    stdout.destroy = stdout.destroySoon = function(er) {
+    stdout.destroySoon = stdout.destroy;
+    stdout._destroy = function(er, cb) {
+      // avoid errors if we already emitted
       const errors = lazyErrors();
       er = er || new errors.Error('ERR_STDOUT_CLOSE');
-      stdout.emit('error', er);
+      cb(er);
     };
     if (stdout.isTTY) {
       process.on('SIGWINCH', () => stdout._refreshSize());
@@ -32,10 +34,12 @@ function setupStdio() {
   function getStderr() {
     if (stderr) return stderr;
     stderr = createWritableStdioStream(2);
-    stderr.destroy = stderr.destroySoon = function(er) {
+    stderr.destroySoon = stderr.destroy;
+    stderr._destroy = function(er, cb) {
+      // avoid errors if we already emitted
       const errors = lazyErrors();
       er = er || new errors.Error('ERR_STDERR_CLOSE');
-      stderr.emit('error', er);
+      cb(er);
     };
     if (stderr.isTTY) {
       process.on('SIGWINCH', () => stderr._refreshSize());
diff --git a/lib/internal/streams/destroy.js b/lib/internal/streams/destroy.js
new file mode 100644
index 00000000000000..18a2a839843bb9
--- /dev/null
+++ b/lib/internal/streams/destroy.js
@@ -0,0 +1,65 @@
+'use strict';
+
+// undocumented cb() API, needed for core, not for public API
+function destroy(err, cb) {
+  const readableDestroyed = this._readableState &&
+    this._readableState.destroyed;
+  const writableDestroyed = this._writableState &&
+    this._writableState.destroyed;
+
+  if (readableDestroyed || writableDestroyed) {
+    if (err && (!this._writableState || !this._writableState.errorEmitted)) {
+      process.nextTick(emitErrorNT, this, err);
+    }
+    return;
+  }
+
+  // we set destroyed to true before firing error callbacks in order
+  // to make it re-entrance safe in case destroy() is called within callbacks
+
+  if (this._readableState) {
+    this._readableState.destroyed = true;
+  }
+
+  // if this is a duplex stream mark the writable part as destroyed as well
+  if (this._writableState) {
+    this._writableState.destroyed = true;
+  }
+
+  this._destroy(err || null, (err) => {
+    if (!cb && err) {
+      process.nextTick(emitErrorNT, this, err);
+      if (this._writableState) {
+        this._writableState.errorEmitted = true;
+      }
+    } else if (cb) {
+      cb(err);
+    }
+  });
+}
+
+function undestroy() {
+  if (this._readableState) {
+    this._readableState.destroyed = false;
+    this._readableState.reading = false;
+    this._readableState.ended = false;
+    this._readableState.endEmitted = false;
+  }
+
+  if (this._writableState) {
+    this._writableState.destroyed = false;
+    this._writableState.ended = false;
+    this._writableState.ending = false;
+    this._writableState.finished = false;
+    this._writableState.errorEmitted = false;
+  }
+}
+
+function emitErrorNT(self, err) {
+  self.emit('error', err);
+}
+
+module.exports = {
+  destroy,
+  undestroy
+};
diff --git a/lib/net.js b/lib/net.js
index 3ccaf39329e5dd..67e191fa213329 100644
--- a/lib/net.js
+++ b/lib/net.js
@@ -156,7 +156,7 @@ function normalizeArgs(args) {
 
 // called when creating new Socket, or when re-using a closed Socket
 function initSocketHandle(self) {
-  self.destroyed = false;
+  self._undestroy();
   self._bytesDispatched = 0;
   self._sockname = null;
 
@@ -295,7 +295,7 @@ function onSocketFinish() {
   var err = this._handle.shutdown(req);
 
   if (err)
-    return this._destroy(errnoException(err, 'shutdown'));
+    return this.destroy(errnoException(err, 'shutdown'));
 }
 
 
@@ -481,7 +481,7 @@ Socket.prototype._read = function(n) {
     this._handle.reading = true;
     var err = this._handle.readStart();
     if (err)
-      this._destroy(errnoException(err, 'read'));
+      this.destroy(errnoException(err, 'read'));
   }
 };
 
@@ -526,20 +526,6 @@ Socket.prototype.destroySoon = function() {
 Socket.prototype._destroy = function(exception, cb) {
   debug('destroy');
 
-  function fireErrorCallbacks(self, exception, cb) {
-    if (cb) cb(exception);
-    if (exception && !self._writableState.errorEmitted) {
-      process.nextTick(emitErrorNT, self, exception);
-      self._writableState.errorEmitted = true;
-    }
-  }
-
-  if (this.destroyed) {
-    debug('already destroyed, fire error callbacks');
-    fireErrorCallbacks(this, exception, cb);
-    return;
-  }
-
   this.connecting = false;
 
   this.readable = this.writable = false;
@@ -564,11 +550,7 @@ Socket.prototype._destroy = function(exception, cb) {
     this._sockname = null;
   }
 
-  // we set destroyed to true before firing error callbacks in order
-  // to make it re-entrance safe in case Socket.prototype.destroy()
-  // is called within callbacks
-  this.destroyed = true;
-  fireErrorCallbacks(this, exception, cb);
+  cb(exception);
 
   if (this._server) {
     COUNTER_NET_SERVER_CONNECTION_CLOSE(this);
@@ -581,12 +563,6 @@ Socket.prototype._destroy = function(exception, cb) {
 };
 
 
-Socket.prototype.destroy = function(exception) {
-  debug('destroy', exception);
-  this._destroy(exception);
-};
-
-
 // This function is called whenever the handle gets a
 // buffer, or when there's an error reading.
 function onread(nread, buffer) {
@@ -614,7 +590,7 @@ function onread(nread, buffer) {
       debug('readStop');
       var err = handle.readStop();
       if (err)
-        self._destroy(errnoException(err, 'read'));
+        self.destroy(errnoException(err, 'read'));
     }
     return;
   }
@@ -628,7 +604,7 @@ function onread(nread, buffer) {
 
   // Error, possibly EOF.
   if (nread !== uv.UV_EOF) {
-    return self._destroy(errnoException(nread, 'read'));
+    return self.destroy(errnoException(nread, 'read'));
   }
 
   debug('EOF');
@@ -739,7 +715,7 @@ Socket.prototype._writeGeneric = function(writev, data, encoding, cb) {
   this._unrefTimer();
 
   if (!this._handle) {
-    this._destroy(new Error('This socket is closed'), cb);
+    this.destroy(new Error('This socket is closed'), cb);
     return false;
   }
 
@@ -771,7 +747,7 @@ Socket.prototype._writeGeneric = function(writev, data, encoding, cb) {
   }
 
   if (err)
-    return this._destroy(errnoException(err, 'write', req.error), cb);
+    return this.destroy(errnoException(err, 'write', req.error), cb);
 
   this._bytesDispatched += req.bytes;
 
@@ -862,7 +838,7 @@ function afterWrite(status, handle, req, err) {
   if (status < 0) {
     var ex = errnoException(status, 'write', req.error);
     debug('write failure', ex);
-    self._destroy(ex, req.cb);
+    self.destroy(ex, req.cb);
     return;
   }
 
@@ -896,13 +872,13 @@ function internalConnect(
       localAddress = localAddress || '::';
       err = self._handle.bind6(localAddress, localPort);
     } else {
-      self._destroy(new TypeError('Invalid addressType: ' + addressType));
+      self.destroy(new TypeError('Invalid addressType: ' + addressType));
       return;
     }
 
     if (err) {
       const ex = exceptionWithHostPort(err, 'bind', localAddress, localPort);
-      self._destroy(ex);
+      self.destroy(ex);
       return;
     }
   }
@@ -944,7 +920,7 @@ function internalConnect(
     }
 
     const ex = exceptionWithHostPort(err, 'connect', address, port, details);
-    self._destroy(ex);
+    self.destroy(ex);
   }
 }
 
@@ -971,14 +947,7 @@ Socket.prototype.connect = function() {
     this.write = Socket.prototype.write;
 
   if (this.destroyed) {
-    this._readableState.reading = false;
-    this._readableState.ended = false;
-    this._readableState.endEmitted = false;
-    this._writableState.ended = false;
-    this._writableState.ending = false;
-    this._writableState.finished = false;
-    this._writableState.errorEmitted = false;
-    this.destroyed = false;
+    this._undestroy();
     this._handle = null;
     this._peername = null;
     this._sockname = null;
@@ -1091,8 +1060,7 @@ function lookupAndConnect(self, options) {
 
 
 function connectErrorNT(self, err) {
-  self.emit('error', err);
-  self._destroy();
+  self.destroy(err);
 }
 
 
@@ -1165,7 +1133,7 @@ function afterConnect(status, handle, req, readable, writable) {
       ex.localAddress = req.localAddress;
       ex.localPort = req.localPort;
     }
-    self._destroy(ex);
+    self.destroy(ex);
   }
 }
 
diff --git a/node.gyp b/node.gyp
index c188072d0a2706..c34f40de41f25d 100644
--- a/node.gyp
+++ b/node.gyp
@@ -106,6 +106,7 @@
       'lib/internal/streams/lazy_transform.js',
       'lib/internal/streams/BufferList.js',
       'lib/internal/streams/legacy.js',
+      'lib/internal/streams/destroy.js',
       'deps/v8/tools/splaytree.js',
       'deps/v8/tools/codemap.js',
       'deps/v8/tools/consarray.js',
diff --git a/test/parallel/test-process-external-stdio-close-spawn.js b/test/parallel/test-process-external-stdio-close-spawn.js
new file mode 100644
index 00000000000000..b1ab52ff8a9d9c
--- /dev/null
+++ b/test/parallel/test-process-external-stdio-close-spawn.js
@@ -0,0 +1,31 @@
+'use strict';
+// Refs: https://github.com/nodejs/node/issues/947
+const common = require('../common');
+const assert = require('assert');
+const cp = require('child_process');
+
+if (process.argv[2] === 'child') {
+  process.on('message', common.mustCall((msg) => {
+    assert.strictEqual(msg, 'go');
+    // the following console.log is an integral part
+    // of the test. If this regress, this call will
+    // cause the process to exit with 1
+    console.log('logging should not cause a crash');
+    process.disconnect();
+  }));
+} else {
+  // Passing '--inspect', '--inspect-brk' to child.spawn enables
+  // the debugger. This test was added to help debug the fork-based
+  // test with the same name.
+  const child = cp.spawn(process.execPath, [__filename, 'child'], {
+    stdio: ['pipe', 'pipe', 'pipe', 'ipc']
+  });
+
+  child.on('close', common.mustCall((exitCode, signal) => {
+    assert.strictEqual(exitCode, 0, 'exit successfully');
+    assert.strictEqual(signal, null);
+  }));
+
+  child.stdout.destroy();
+  child.send('go');
+}
diff --git a/test/parallel/test-process-external-stdio-close.js b/test/parallel/test-process-external-stdio-close.js
index 79e3641bdf06fc..798ee00d0511b0 100644
--- a/test/parallel/test-process-external-stdio-close.js
+++ b/test/parallel/test-process-external-stdio-close.js
@@ -7,6 +7,9 @@ const cp = require('child_process');
 if (process.argv[2] === 'child') {
   process.on('message', common.mustCall((msg) => {
     assert.strictEqual(msg, 'go');
+    // the following console.log is an integral part
+    // of the test. If this regress, this call will
+    // cause the process to exit with 1
     console.log('logging should not cause a crash');
     process.disconnect();
   }));
diff --git a/test/parallel/test-stream-duplex-destroy.js b/test/parallel/test-stream-duplex-destroy.js
new file mode 100644
index 00000000000000..00e334d64b5693
--- /dev/null
+++ b/test/parallel/test-stream-duplex-destroy.js
@@ -0,0 +1,194 @@
+'use strict';
+
+const common = require('../common');
+const { Duplex } = require('stream');
+const assert = require('assert');
+const { inherits } = require('util');
+
+{
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {}
+  });
+
+  duplex.resume();
+
+  duplex.on('end', common.mustCall());
+  duplex.on('finish', common.mustCall());
+
+  duplex.destroy();
+  assert.strictEqual(duplex.destroyed, true);
+}
+
+{
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {}
+  });
+  duplex.resume();
+
+  const expected = new Error('kaboom');
+
+  duplex.on('end', common.mustCall());
+  duplex.on('finish', common.mustCall());
+  duplex.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  duplex.destroy(expected);
+  assert.strictEqual(duplex.destroyed, true);
+}
+
+{
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {}
+  });
+
+  duplex._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, expected);
+    cb(err);
+  });
+
+  const expected = new Error('kaboom');
+
+  duplex.on('finish', common.mustNotCall('no finish event'));
+  duplex.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  duplex.destroy(expected);
+  assert.strictEqual(duplex.destroyed, true);
+}
+
+{
+  const expected = new Error('kaboom');
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {},
+    destroy: common.mustCall(function(err, cb) {
+      assert.strictEqual(err, expected);
+      cb();
+    })
+  });
+  duplex.resume();
+
+  duplex.on('end', common.mustNotCall('no end event'));
+  duplex.on('finish', common.mustNotCall('no finish event'));
+
+  // error is swallowed by the custom _destroy
+  duplex.on('error', common.mustNotCall('no error event'));
+
+  duplex.destroy(expected);
+  assert.strictEqual(duplex.destroyed, true);
+}
+
+{
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {}
+  });
+
+  duplex._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    cb();
+  });
+
+  duplex.destroy();
+  assert.strictEqual(duplex.destroyed, true);
+}
+
+{
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {}
+  });
+  duplex.resume();
+
+  duplex._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    process.nextTick(() => {
+      this.push(null);
+      this.end();
+      cb();
+    });
+  });
+
+  const fail = common.mustNotCall('no finish or end event');
+
+  duplex.on('finish', fail);
+  duplex.on('end', fail);
+
+  duplex.destroy();
+
+  duplex.removeListener('end', fail);
+  duplex.removeListener('finish', fail);
+  duplex.on('end', common.mustCall());
+  duplex.on('finish', common.mustCall());
+  assert.strictEqual(duplex.destroyed, true);
+}
+
+{
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {}
+  });
+
+  const expected = new Error('kaboom');
+
+  duplex._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    cb(expected);
+  });
+
+  duplex.on('finish', common.mustNotCall('no finish event'));
+  duplex.on('end', common.mustNotCall('no end event'));
+  duplex.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  duplex.destroy();
+  assert.strictEqual(duplex.destroyed, true);
+}
+
+{
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {},
+    allowHalfOpen: true
+  });
+  duplex.resume();
+
+  duplex.on('finish', common.mustCall());
+  duplex.on('end', common.mustCall());
+
+  duplex.destroy();
+  assert.strictEqual(duplex.destroyed, true);
+}
+
+{
+  const duplex = new Duplex({
+    write(chunk, enc, cb) { cb(); },
+    read() {},
+  });
+
+  duplex.destroyed = true;
+  assert.strictEqual(duplex.destroyed, true);
+
+  // the internal destroy() mechanism should not be triggered
+  duplex.on('finish', common.mustNotCall());
+  duplex.on('end', common.mustNotCall());
+  duplex.destroy();
+}
+
+{
+  function MyDuplex() {
+    assert.strictEqual(this.destroyed, false);
+    this.destroyed = false;
+    Duplex.call(this);
+  }
+
+  inherits(MyDuplex, Duplex);
+
+  new MyDuplex();
+}
diff --git a/test/parallel/test-stream-readable-destroy.js b/test/parallel/test-stream-readable-destroy.js
new file mode 100644
index 00000000000000..800b6be0865377
--- /dev/null
+++ b/test/parallel/test-stream-readable-destroy.js
@@ -0,0 +1,162 @@
+'use strict';
+
+const common = require('../common');
+const { Readable } = require('stream');
+const assert = require('assert');
+const { inherits } = require('util');
+
+{
+  const read = new Readable({
+    read() {}
+  });
+  read.resume();
+
+  read.on('end', common.mustCall());
+
+  read.destroy();
+  assert.strictEqual(read.destroyed, true);
+}
+
+{
+  const read = new Readable({
+    read() {}
+  });
+  read.resume();
+
+  const expected = new Error('kaboom');
+
+  read.on('end', common.mustCall());
+  read.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  read.destroy(expected);
+  assert.strictEqual(read.destroyed, true);
+}
+
+{
+  const read = new Readable({
+    read() {}
+  });
+
+  read._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, expected);
+    cb(err);
+  });
+
+  const expected = new Error('kaboom');
+
+  read.on('end', common.mustNotCall('no end event'));
+  read.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  read.destroy(expected);
+  assert.strictEqual(read.destroyed, true);
+}
+
+{
+  const read = new Readable({
+    read() {},
+    destroy: common.mustCall(function(err, cb) {
+      assert.strictEqual(err, expected);
+      cb();
+    })
+  });
+
+  const expected = new Error('kaboom');
+
+  read.on('end', common.mustNotCall('no end event'));
+
+  // error is swallowed by the custom _destroy
+  read.on('error', common.mustNotCall('no error event'));
+
+  read.destroy(expected);
+  assert.strictEqual(read.destroyed, true);
+}
+
+{
+  const read = new Readable({
+    read() {}
+  });
+
+  read._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    cb();
+  });
+
+  read.destroy();
+  assert.strictEqual(read.destroyed, true);
+}
+
+{
+  const read = new Readable({
+    read() {}
+  });
+  read.resume();
+
+  read._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    process.nextTick(() => {
+      this.push(null);
+      cb();
+    });
+  });
+
+  const fail = common.mustNotCall('no end event');
+
+  read.on('end', fail);
+
+  read.destroy();
+
+  read.removeListener('end', fail);
+  read.on('end', common.mustCall());
+  assert.strictEqual(read.destroyed, true);
+}
+
+{
+  const read = new Readable({
+    read() {}
+  });
+
+  const expected = new Error('kaboom');
+
+  read._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    cb(expected);
+  });
+
+  read.on('end', common.mustNotCall('no end event'));
+  read.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  read.destroy();
+  assert.strictEqual(read.destroyed, true);
+}
+
+{
+  const read = new Readable({
+    read() {}
+  });
+  read.resume();
+
+  read.destroyed = true;
+  assert.strictEqual(read.destroyed, true);
+
+  // the internal destroy() mechanism should not be triggered
+  read.on('end', common.mustNotCall());
+  read.destroy();
+}
+
+{
+  function MyReadable() {
+    assert.strictEqual(this.destroyed, false);
+    this.destroyed = false;
+    Readable.call(this);
+  }
+
+  inherits(MyReadable, Readable);
+
+  new MyReadable();
+}
diff --git a/test/parallel/test-stream-transform-destroy.js b/test/parallel/test-stream-transform-destroy.js
new file mode 100644
index 00000000000000..c42fe1d6f96d08
--- /dev/null
+++ b/test/parallel/test-stream-transform-destroy.js
@@ -0,0 +1,143 @@
+'use strict';
+
+const common = require('../common');
+const { Transform } = require('stream');
+const assert = require('assert');
+
+{
+  const transform = new Transform({
+    transform(chunk, enc, cb) {}
+  });
+
+  transform.resume();
+
+  transform.on('end', common.mustCall());
+  transform.on('close', common.mustCall());
+  transform.on('finish', common.mustCall());
+
+  transform.destroy();
+}
+
+{
+  const transform = new Transform({
+    transform(chunk, enc, cb) {}
+  });
+  transform.resume();
+
+  const expected = new Error('kaboom');
+
+  transform.on('end', common.mustCall());
+  transform.on('finish', common.mustCall());
+  transform.on('close', common.mustCall());
+  transform.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  transform.destroy(expected);
+}
+
+{
+  const transform = new Transform({
+    transform(chunk, enc, cb) {}
+  });
+
+  transform._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, expected);
+    cb(err);
+  }, 1);
+
+  const expected = new Error('kaboom');
+
+  transform.on('finish', common.mustNotCall('no finish event'));
+  transform.on('close', common.mustNotCall('no close event'));
+  transform.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  transform.destroy(expected);
+}
+
+{
+  const expected = new Error('kaboom');
+  const transform = new Transform({
+    transform(chunk, enc, cb) {},
+    destroy: common.mustCall(function(err, cb) {
+      assert.strictEqual(err, expected);
+      cb();
+    }, 1)
+  });
+  transform.resume();
+
+  transform.on('end', common.mustNotCall('no end event'));
+  transform.on('close', common.mustNotCall('no close event'));
+  transform.on('finish', common.mustNotCall('no finish event'));
+
+  // error is swallowed by the custom _destroy
+  transform.on('error', common.mustNotCall('no error event'));
+
+  transform.destroy(expected);
+}
+
+{
+  const transform = new Transform({
+    transform(chunk, enc, cb) {}
+  });
+
+  transform._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    cb();
+  }, 1);
+
+  transform.destroy();
+}
+
+{
+  const transform = new Transform({
+    transform(chunk, enc, cb) {}
+  });
+  transform.resume();
+
+  transform._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    process.nextTick(() => {
+      this.push(null);
+      this.end();
+      cb();
+    });
+  }, 1);
+
+  const fail = common.mustNotCall('no event');
+
+  transform.on('finish', fail);
+  transform.on('end', fail);
+  transform.on('close', fail);
+
+  transform.destroy();
+
+  transform.removeListener('end', fail);
+  transform.removeListener('finish', fail);
+  transform.on('end', common.mustCall());
+  transform.on('finish', common.mustCall());
+}
+
+{
+  const transform = new Transform({
+    transform(chunk, enc, cb) {}
+  });
+
+  const expected = new Error('kaboom');
+
+  transform._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    cb(expected);
+  }, 1);
+
+  transform.on('close', common.mustNotCall('no close event'));
+  transform.on('finish', common.mustNotCall('no finish event'));
+  transform.on('end', common.mustNotCall('no end event'));
+  transform.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  transform.destroy();
+}
diff --git a/test/parallel/test-stream-writable-destroy.js b/test/parallel/test-stream-writable-destroy.js
new file mode 100644
index 00000000000000..a91f148f9e5cd5
--- /dev/null
+++ b/test/parallel/test-stream-writable-destroy.js
@@ -0,0 +1,172 @@
+'use strict';
+
+const common = require('../common');
+const { Writable } = require('stream');
+const assert = require('assert');
+const { inherits } = require('util');
+
+{
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); }
+  });
+
+  write.on('finish', common.mustCall());
+
+  write.destroy();
+  assert.strictEqual(write.destroyed, true);
+}
+
+{
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); }
+  });
+
+  const expected = new Error('kaboom');
+
+  write.on('finish', common.mustCall());
+  write.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  write.destroy(expected);
+  assert.strictEqual(write.destroyed, true);
+}
+
+{
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); }
+  });
+
+  write._destroy = function(err, cb) {
+    assert.strictEqual(err, expected);
+    cb(err);
+  };
+
+  const expected = new Error('kaboom');
+
+  write.on('finish', common.mustNotCall('no finish event'));
+  write.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  write.destroy(expected);
+  assert.strictEqual(write.destroyed, true);
+}
+
+{
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); },
+    destroy: common.mustCall(function(err, cb) {
+      assert.strictEqual(err, expected);
+      cb();
+    })
+  });
+
+  const expected = new Error('kaboom');
+
+  write.on('finish', common.mustNotCall('no finish event'));
+
+  // error is swallowed by the custom _destroy
+  write.on('error', common.mustNotCall('no error event'));
+
+  write.destroy(expected);
+  assert.strictEqual(write.destroyed, true);
+}
+
+{
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); }
+  });
+
+  write._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    cb();
+  });
+
+  write.destroy();
+  assert.strictEqual(write.destroyed, true);
+}
+
+{
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); }
+  });
+
+  write._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    process.nextTick(() => {
+      this.end();
+      cb();
+    });
+  });
+
+  const fail = common.mustNotCall('no finish event');
+
+  write.on('finish', fail);
+
+  write.destroy();
+
+  write.removeListener('finish', fail);
+  write.on('finish', common.mustCall());
+  assert.strictEqual(write.destroyed, true);
+}
+
+{
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); }
+  });
+
+  const expected = new Error('kaboom');
+
+  write._destroy = common.mustCall(function(err, cb) {
+    assert.strictEqual(err, null);
+    cb(expected);
+  });
+
+  write.on('finish', common.mustNotCall('no finish event'));
+  write.on('error', common.mustCall((err) => {
+    assert.strictEqual(err, expected);
+  }));
+
+  write.destroy();
+  assert.strictEqual(write.destroyed, true);
+}
+
+{
+  // double error case
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); }
+  });
+
+  write.on('error', common.mustCall());
+
+  write.destroy(new Error('kaboom 1'));
+  write.destroy(new Error('kaboom 2'));
+  assert.strictEqual(write._writableState.errorEmitted, true);
+  assert.strictEqual(write.destroyed, true);
+}
+
+{
+  const write = new Writable({
+    write(chunk, enc, cb) { cb(); }
+  });
+
+  write.destroyed = true;
+  assert.strictEqual(write.destroyed, true);
+
+  // the internal destroy() mechanism should not be triggered
+  write.on('finish', common.mustNotCall());
+  write.destroy();
+}
+
+{
+  function MyWritable() {
+    assert.strictEqual(this.destroyed, false);
+    this.destroyed = false;
+    Writable.call(this);
+  }
+
+  inherits(MyWritable, Writable);
+
+  new MyWritable();
+}
diff --git a/test/parallel/test-tls-writewrap-leak.js b/test/parallel/test-tls-writewrap-leak.js
index b1a6d6a1058a65..0d61f279312dcf 100644
--- a/test/parallel/test-tls-writewrap-leak.js
+++ b/test/parallel/test-tls-writewrap-leak.js
@@ -16,7 +16,7 @@ const server = net.createServer(common.mustCall((c) => {
   const c = tls.connect({ port: server.address().port });
   c.on('error', () => {
     // Otherwise `.write()` callback won't be invoked.
-    c.destroyed = false;
+    c._undestroy();
   });
 
   c.write('hello', common.mustCall((err) => {
diff --git a/test/pseudo-tty/test-tty-stdout-end.js b/test/pseudo-tty/test-tty-stdout-end.js
index 3c91977f902cd2..2ec7ca9114db6f 100644
--- a/test/pseudo-tty/test-tty-stdout-end.js
+++ b/test/pseudo-tty/test-tty-stdout-end.js
@@ -1,10 +1,10 @@
 'use strict';
 const common = require('../common');
-const assert = require('assert');
 
-assert.throws(() => process.stdout.end(),
-              common.expectsError({
-                code: 'ERR_STDOUT_CLOSE',
-                type: Error,
-                message: 'process.stdout cannot be closed'
-              }));
+process.on('uncaughtException', common.expectsError({
+  code: 'ERR_STDOUT_CLOSE',
+  type: Error,
+  message: 'process.stdout cannot be closed'
+}));
+
+process.stdout.end();