diff --git a/CHANGELOG.md b/CHANGELOG.md
index e4166c9a5e9f..b207fa80326d 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,7 @@
 ## Changelog
 ##### Unreleased
+- Added `RegExp` named capture groups polyfill, [#521](https://github.com/zloirock/core-js/issues/521)
+- Added `RegExp` `dotAll` flag polyfill, [#792](https://github.com/zloirock/core-js/issues/792)
 - Added missed polyfills of [Annex B](https://tc39.es/ecma262/#sec-additional-built-in-properties) features (required mainly for some non-browser engines), [#336](https://github.com/zloirock/core-js/issues/336):
   - `escape`
   - `unescape`
@@ -7,7 +9,7 @@
   - `Date.prototype.getYear`
   - `Date.prototype.setYear`
   - `Date.prototype.toGMTString`
-- Fixed detection of forbidden host code points in URL polyfill
+- Fixed detection of forbidden host code points in `URL` polyfill
 - Allowed `rhino` target in `core-js-compat` / `core-js-builder`, added compat data for `rhino` 1.7.13, [#942](https://github.com/zloirock/core-js/issues/942), thanks [@gausie](https://github.com/gausie)
 - `.at` marked as supported from FF90
 
diff --git a/README.md b/README.md
index 962bbea2e92e..2c5a79908412 100644
--- a/README.md
+++ b/README.md
@@ -669,7 +669,7 @@ Adding support of well-known [symbols](#ecmascript-symbol) `@@match`, `@@replace
 
 Annex B methods. Modules [`es.string.anchor`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.anchor.js), [`es.string.big`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.big.js), [`es.string.blink`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.blink.js), [`es.string.bold`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.bold.js), [`es.string.fixed`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.fixed.js), [`es.string.fontcolor`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.fontcolor.js), [`es.string.fontsize`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.fontsize.js), [`es.string.italics`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.italics.js), [`es.string.link`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.link.js), [`es.string.small`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.small.js), [`es.string.strike`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.strike.js), [`es.string.sub`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.sub.js), [`es.string.sup`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.sup.js), [`es.string.substr`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.string.substr.js), [`es.escape`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.escape.js) and [`es.unescape`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.unescape.js).
 
-`RegExp` features: modules [`es.regexp.constructor`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.constructor.js), [`es.regexp.flags`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.flags.js), [`es.regexp.sticky`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.sticky.js) and [`es.regexp.test`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.test.js).
+`RegExp` features: modules [`es.regexp.constructor`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.constructor.js), [`es.regexp.dot-all`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.dot-all.js), [`es.regexp.flags`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.flags.js), [`es.regexp.sticky`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.sticky.js) and [`es.regexp.test`](https://github.com/zloirock/core-js/blob/master/packages/core-js/modules/es.regexp.test.js).
 ```js
 class String {
   static fromCodePoint(...codePoints: Array<number>): string;
@@ -710,7 +710,8 @@ class String {
 }
 
 class RegExp {
-  constructor(pattern: RegExp | string, flags?: string): RegExp; // support of sticky (`y`) flag; can alter flags
+  // support of sticky (`y`) flag, dotAll (`s`) flag, named capture groups, can alter flags
+  constructor(pattern: RegExp | string, flags?: string): RegExp;
   exec(): Array<string | undefined> | null; // IE8 fixes
   test(string: string): boolean; // delegation to `.exec`
   toString(): string; // ES2015+ fix - generic
@@ -719,8 +720,9 @@ class RegExp {
   @@replace(string: string, replaceValue: Function | string): string;
   @@search(string: string): number;
   @@split(string: string, limit: number): Array<string>;
-  readonly attribute flags: string; // IE9+
-  readonly attribute sticky: boolean;
+  readonly attribute dotAll: boolean; // IE9+
+  readonly attribute flags: string;   // IE9+
+  readonly attribute sticky: boolean; // IE9+
 }
 
 function escape(string: string): string;
@@ -766,6 +768,7 @@ core-js(-pure)/es|stable|features/string(/virtual)/sup
 core-js(-pure)/es|stable|features/string(/virtual)/iterator
 core-js/es|stable|features/regexp
 core-js/es|stable|features/regexp/constructor
+core-js/es|stable|features/regexp/dot-all
 core-js(-pure)/es|stable|features/regexp/flags
 core-js/es|stable|features/regexp/sticky
 core-js/es|stable|features/regexp/test
@@ -773,7 +776,7 @@ core-js/es|stable|features/regexp/to-string
 core-js/es|stable|features/escape
 core-js/es|stable|features/unescape
 ```
-[*Examples*](http://es6.zloirock.ru/#for(var%20val%20of%20'a%F0%A0%AE%B7b')%7B%0A%20%20log(val)%3B%20%2F%2F%20%3D%3E%20'a'%2C%20'%F0%A0%AE%B7'%2C%20'b'%0A%7D%0A%0Alog('foobarbaz'.includes('bar'))%3B%20%20%20%20%20%20%2F%2F%20%3D%3E%20true%0Alog('foobarbaz'.includes('bar'%2C%204))%3B%20%20%20%2F%2F%20%3D%3E%20false%0Alog('foobarbaz'.startsWith('foo'))%3B%20%20%20%20%2F%2F%20%3D%3E%20true%0Alog('foobarbaz'.startsWith('bar'%2C%203))%3B%20%2F%2F%20%3D%3E%20true%0Alog('foobarbaz'.endsWith('baz'))%3B%20%20%20%20%20%20%2F%2F%20%3D%3E%20true%0Alog('foobarbaz'.endsWith('bar'%2C%206))%3B%20%20%20%2F%2F%20%3D%3E%20true%0A%0Alog('string'.repeat(3))%3B%20%2F%2F%20%3D%3E%20'stringstringstring'%0A%0Alog('hello'.padStart(10))%3B%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'%20%20%20%20%20hello'%0Alog('hello'.padStart(10%2C%20'1234'))%3B%20%2F%2F%20%3D%3E%20'12341hello'%0Alog('hello'.padEnd(10))%3B%20%20%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'hello%20%20%20%20%20'%0Alog('hello'.padEnd(10%2C%20'1234'))%3B%20%20%20%2F%2F%20%3D%3E%20'hello12341'%0A%0Alog('%F0%A0%AE%B7'.codePointAt(0))%3B%20%2F%2F%20%3D%3E%20134071%0A%0Avar%20name%20%3D%20'Bob'%3B%0Alog(String.raw%60Hi%5Cn%24%7Bname%7D!%60)%3B%20%20%20%20%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'Hi%5C%5CnBob!'%20(ES6%20template%20string%20syntax)%0Alog(String.raw(%7B%20raw%3A%20'test'%20%7D%2C%200%2C%201%2C%202))%3B%20%2F%2F%20%3D%3E%20%2F%2F%20't0e1s2t'%0A%0Alog('foo'.bold())%3B%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'%3Cb%3Efoo%3C%2Fb%3E'%0Alog('bar'.anchor('a%22b'))%3B%20%20%20%20%20%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'%3Ca%20name%3D%22a%26quot%3Bb%22%3Ebar%3C%2Fa%3E'%0Alog('baz'.link('http%3A%2F%2Fexample.com'))%3B%20%2F%2F%20%3D%3E%20'%3Ca%20href%3D%22http%3A%2F%2Fexample.com%22%3Ebaz%3C%2Fa%3E'%0A%0Alog(RegExp(%2F.%2Fg%2C%20'm'))%3B%20%2F%2F%20%3D%3E%20%2F.%2Fm%0A%0Alog(%2Ffoo%2F.flags)%3B%20%20%20%20%2F%2F%20%3D%3E%20''%0Alog(%2Ffoo%2Fgim.flags)%3B%20%2F%2F%20%3D%3E%20'gim'%0A%0Alog(RegExp('foo'%2C%20'y').sticky)%3B%20%2F%2F%20%3D%3E%20true%0A%0Aconst%20text%20%3D%20'First%20line%5CnSecond%20line'%3B%0Aconst%20regex%20%3D%20RegExp('(%5C%5CS%2B)%20line%5C%5Cn%3F'%2C%20'y')%3B%0A%0Alog(regex.exec(text)%5B1%5D)%3B%20%2F%2F%20%3D%3E%20'First'%0Alog(regex.exec(text)%5B1%5D)%3B%20%2F%2F%20%3D%3E%20'Second'%0Alog(regex.exec(text))%3B%20%20%20%20%2F%2F%20%3D%3E%20null%0A%0Alog('foo'.match(%7B%5BSymbol.match%5D%3A%20_%20%3D%3E%201%7D))%3B%20%20%20%20%20%2F%2F%20%3D%3E%201%0Alog('foo'.replace(%7B%5BSymbol.replace%5D%3A%20_%20%3D%3E%202%7D))%3B%20%2F%2F%20%3D%3E%202%0Alog('foo'.search(%7B%5BSymbol.search%5D%3A%20_%20%3D%3E%203%7D))%3B%20%20%20%2F%2F%20%3D%3E%203%0Alog('foo'.split(%7B%5BSymbol.split%5D%3A%20_%20%3D%3E%204%7D))%3B%20%20%20%20%20%2F%2F%20%3D%3E%204%0A%0Alog(RegExp.prototype.toString.call(%7Bsource%3A%20'foo'%2C%20flags%3A%20'bar'%7D))%3B%0A%0Alog('%20%20%20hello%20%20%20'.trimLeft())%3B%20%20%2F%2F%20%3D%3E%20'hello%20%20%20'%0Alog('%20%20%20hello%20%20%20'.trimRight())%3B%20%2F%2F%20%3D%3E%20'%20%20%20hello'%0Alog('%20%20%20hello%20%20%20'.trimStart())%3B%20%2F%2F%20%3D%3E%20'hello%20%20%20'%0Alog('%20%20%20hello%20%20%20'.trimEnd())%3B%20%20%20%2F%2F%20%3D%3E%20'%20%20%20hello'%0A%0Afor%20(let%20%5B_%2C%20d%2C%20D%5D%20of%20'1111a2b3cccc'.matchAll(%2F(%5Cd)(%5CD)%2Fg))%20%7B%0A%20%20log(d%2C%20D)%3B%20%2F%2F%20%3D%3E%201%20a%2C%202%20b%2C%203%20c%0A%7D%0A%0Alog('Test%20abc%20test%20test%20abc%20test.'.replaceAll('abc'%2C%20'foo'))%3B%20%2F%2F%20-%3E%20'Test%20foo%20test%20test%20foo%20test.'):
+[*Examples*](http://es6.zloirock.ru/#for(var%20val%20of%20'a%F0%A0%AE%B7b')%7B%0A%20%20log(val)%3B%20%2F%2F%20%3D%3E%20'a'%2C%20'%F0%A0%AE%B7'%2C%20'b'%0A%7D%0A%0Alog('foobarbaz'.includes('bar'))%3B%20%20%20%20%20%20%2F%2F%20%3D%3E%20true%0Alog('foobarbaz'.includes('bar'%2C%204))%3B%20%20%20%2F%2F%20%3D%3E%20false%0Alog('foobarbaz'.startsWith('foo'))%3B%20%20%20%20%2F%2F%20%3D%3E%20true%0Alog('foobarbaz'.startsWith('bar'%2C%203))%3B%20%2F%2F%20%3D%3E%20true%0Alog('foobarbaz'.endsWith('baz'))%3B%20%20%20%20%20%20%2F%2F%20%3D%3E%20true%0Alog('foobarbaz'.endsWith('bar'%2C%206))%3B%20%20%20%2F%2F%20%3D%3E%20true%0A%0Alog('string'.repeat(3))%3B%20%2F%2F%20%3D%3E%20'stringstringstring'%0A%0Alog('hello'.padStart(10))%3B%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'%20%20%20%20%20hello'%0Alog('hello'.padStart(10%2C%20'1234'))%3B%20%2F%2F%20%3D%3E%20'12341hello'%0Alog('hello'.padEnd(10))%3B%20%20%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'hello%20%20%20%20%20'%0Alog('hello'.padEnd(10%2C%20'1234'))%3B%20%20%20%2F%2F%20%3D%3E%20'hello12341'%0A%0Alog('%F0%A0%AE%B7'.codePointAt(0))%3B%20%2F%2F%20%3D%3E%20134071%0A%0Avar%20name%20%3D%20'Bob'%3B%0Alog(String.raw%60Hi%5Cn%24%7Bname%7D!%60)%3B%20%20%20%20%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'Hi%5C%5CnBob!'%20(ES6%20template%20string%20syntax)%0Alog(String.raw(%7B%20raw%3A%20'test'%20%7D%2C%200%2C%201%2C%202))%3B%20%2F%2F%20%3D%3E%20%2F%2F%20't0e1s2t'%0A%0Alog('foo'.bold())%3B%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'%3Cb%3Efoo%3C%2Fb%3E'%0Alog('bar'.anchor('a%22b'))%3B%20%20%20%20%20%20%20%20%20%20%20%20%20%20%2F%2F%20%3D%3E%20'%3Ca%20name%3D%22a%26quot%3Bb%22%3Ebar%3C%2Fa%3E'%0Alog('baz'.link('http%3A%2F%2Fexample.com'))%3B%20%2F%2F%20%3D%3E%20'%3Ca%20href%3D%22http%3A%2F%2Fexample.com%22%3Ebaz%3C%2Fa%3E'%0A%0Alog(RegExp('.'%2C%20's').test('%5Cn'))%3B%20%2F%2F%20%3D%3E%20true%0Alog(RegExp('.'%2C%20's').dotAll)%3B%20%20%20%20%20%2F%2F%20%3D%3E%20true%0A%0Alog(RegExp('foo%3A(%3F%3Cfoo%3E%5C%5Cw%2B)%2Cbar%3A(%3F%3Cbar%3E%5C%5Cw%2B)').exec('foo%3Aabc%2Cbar%3Adef').groups.bar)%3B%20%2F%2F%20%3D%3E%20'def'%0A%0Alog('foo%3Aabc%2Cbar%3Adef'.replace(RegExp('foo%3A(%3F%3Cfoo%3E%5C%5Cw%2B)%2Cbar%3A(%3F%3Cbar%3E%5C%5Cw%2B)')%2C%20'%24%3Cbar%3E%2C%24%3Cfoo%3E'))%3B%20%2F%2F%20%3D%3E%20'def%2Cabc'%0A%0Alog(RegExp(%2F.%2Fg%2C%20'm'))%3B%20%2F%2F%20%3D%3E%20%2F.%2Fm%0A%0Alog(%2Ffoo%2F.flags)%3B%20%20%20%20%2F%2F%20%3D%3E%20''%0Alog(%2Ffoo%2Fgim.flags)%3B%20%2F%2F%20%3D%3E%20'gim'%0A%0Alog(RegExp('foo'%2C%20'y').sticky)%3B%20%2F%2F%20%3D%3E%20true%0A%0Aconst%20text%20%3D%20'First%20line%5CnSecond%20line'%3B%0Aconst%20regex%20%3D%20RegExp('(%5C%5CS%2B)%20line%5C%5Cn%3F'%2C%20'y')%3B%0A%0Alog(regex.exec(text)%5B1%5D)%3B%20%2F%2F%20%3D%3E%20'First'%0Alog(regex.exec(text)%5B1%5D)%3B%20%2F%2F%20%3D%3E%20'Second'%0Alog(regex.exec(text))%3B%20%20%20%20%2F%2F%20%3D%3E%20null%0A%0Alog('foo'.match(%7B%5BSymbol.match%5D%3A%20_%20%3D%3E%201%7D))%3B%20%20%20%20%20%2F%2F%20%3D%3E%201%0Alog('foo'.replace(%7B%5BSymbol.replace%5D%3A%20_%20%3D%3E%202%7D))%3B%20%2F%2F%20%3D%3E%202%0Alog('foo'.search(%7B%5BSymbol.search%5D%3A%20_%20%3D%3E%203%7D))%3B%20%20%20%2F%2F%20%3D%3E%203%0Alog('foo'.split(%7B%5BSymbol.split%5D%3A%20_%20%3D%3E%204%7D))%3B%20%20%20%20%20%2F%2F%20%3D%3E%204%0A%0Alog(RegExp.prototype.toString.call(%7Bsource%3A%20'foo'%2C%20flags%3A%20'bar'%7D))%3B%0A%0Alog('%20%20%20hello%20%20%20'.trimLeft())%3B%20%20%2F%2F%20%3D%3E%20'hello%20%20%20'%0Alog('%20%20%20hello%20%20%20'.trimRight())%3B%20%2F%2F%20%3D%3E%20'%20%20%20hello'%0Alog('%20%20%20hello%20%20%20'.trimStart())%3B%20%2F%2F%20%3D%3E%20'hello%20%20%20'%0Alog('%20%20%20hello%20%20%20'.trimEnd())%3B%20%20%20%2F%2F%20%3D%3E%20'%20%20%20hello'%0A%0Afor%20(let%20%5B_%2C%20d%2C%20D%5D%20of%20'1111a2b3cccc'.matchAll(%2F(%5Cd)(%5CD)%2Fg))%20%7B%0A%20%20log(d%2C%20D)%3B%20%2F%2F%20%3D%3E%201%20a%2C%202%20b%2C%203%20c%0A%7D%0A%0Alog('Test%20abc%20test%20test%20abc%20test.'.replaceAll('abc'%2C%20'foo'))%3B%20%2F%2F%20-%3E%20'Test%20foo%20test%20test%20foo%20test.'):
 ```js
 for (let value of 'a𠮷b') {
   console.log(value); // => 'a', '𠮷', 'b'
@@ -804,6 +807,13 @@ String.raw({ raw: 'test' }, 0, 1, 2); // => 't0e1s2t'
 'bar'.anchor('a"b');              // => '<a name="a&quot;b">bar</a>'
 'baz'.link('http://example.com'); // => '<a href="http://example.com">baz</a>'
 
+RegExp('.', 's').test('\n'); // => true
+RegExp('.', 's').dotAll;     // => true
+
+RegExp('foo:(?<foo>\\w+),bar:(?<bar>\\w+)').exec('foo:abc,bar:def').groups.bar; // => 'def'
+
+'foo:abc,bar:def'.replace(RegExp('foo:(?<foo>\\w+),bar:(?<bar>\\w+)'), '$<bar>,$<foo>'); // => 'def,abc'
+
 RegExp(/./g, 'm'); // => /./m
 
 /foo/.flags;    // => ''
diff --git a/packages/core-js/internals/regexp-exec.js b/packages/core-js/internals/regexp-exec.js
index c8b9ae72bc71..099e9b35ceb0 100644
--- a/packages/core-js/internals/regexp-exec.js
+++ b/packages/core-js/internals/regexp-exec.js
@@ -33,9 +33,9 @@ if (PATCH) {
   // eslint-disable-next-line max-statements -- TODO
   patchedExec = function exec(str) {
     var re = this;
-    var lastIndex, reCopy, match, i, result, object, group;
     var state = getInternalState(re);
     var raw = state.raw;
+    var result, reCopy, lastIndex, match, i, object, group;
 
     if (raw) {
       raw.lastIndex = re.lastIndex;
diff --git a/packages/core-js/modules/es.regexp.constructor.js b/packages/core-js/modules/es.regexp.constructor.js
index 5b99c05a4e96..e7b7c59de314 100644
--- a/packages/core-js/modules/es.regexp.constructor.js
+++ b/packages/core-js/modules/es.regexp.constructor.js
@@ -92,7 +92,7 @@ var handleNCG = function (string) {
         continue;
       case chr === '>' && ncg:
         if (groupname === '' || has(names, groupname)) {
-          throw new TypeError('Invalid capture group name');
+          throw new SyntaxError('Invalid capture group name');
         }
         names[groupname] = true;
         named.push([groupname, groupid]);
diff --git a/packages/core-js/modules/es.string.replace.js b/packages/core-js/modules/es.string.replace.js
index 0ec51a2d9dea..89fb9493a3e3 100644
--- a/packages/core-js/modules/es.string.replace.js
+++ b/packages/core-js/modules/es.string.replace.js
@@ -51,8 +51,9 @@ fixRegExpWellKnownSymbolLogic('replace', function (_, nativeReplace, maybeCallNa
     // https://tc39.es/ecma262/#sec-regexp.prototype-@@replace
     function (string, replaceValue) {
       if (
-        (!REGEXP_REPLACE_SUBSTITUTES_UNDEFINED_CAPTURE && REPLACE_KEEPS_$0) ||
-        (typeof replaceValue === 'string' && replaceValue.indexOf(UNSAFE_SUBSTITUTE) === -1)
+        typeof replaceValue === 'string' &&
+        replaceValue.indexOf(UNSAFE_SUBSTITUTE) === -1 &&
+        replaceValue.indexOf('$<') === -1
       ) {
         var res = maybeCallNative(nativeReplace, this, string, replaceValue);
         if (res.done) return res.value;
diff --git a/tests/compat/tests.js b/tests/compat/tests.js
index 6e4a09bb9aaf..1db06e5a674b 100644
--- a/tests/compat/tests.js
+++ b/tests/compat/tests.js
@@ -145,6 +145,12 @@ var TYPED_ARRAY_CONSTRUCTORS_NOT_REQUIRES_WRAPPERS = function () {
     && new Int8Array(new ArrayBuffer(2), 1, undefined).length == 1;
 };
 
+function NCG_SUPPORT() {
+  var re = RegExp('(?<a>b)');
+  return re.exec('b').groups.a === 'b' &&
+    'b'.replace(re, '$<a>c') === 'bc';
+}
+
 function createIsRegExpLogicTest(name) {
   return function () {
     var regexp = /./;
@@ -782,7 +788,7 @@ GLOBAL.tests = {
   'es.reflect.to-string-tag': function () {
     return Reflect[Symbol.toStringTag];
   },
-  'es.regexp.constructor': function () {
+  'es.regexp.constructor': [NCG_SUPPORT, function () {
     var re1 = /a/g;
     var re2 = /a/g;
     re2[Symbol.match] = false;
@@ -793,11 +799,11 @@ GLOBAL.tests = {
       && new RegExp('a', 'y') // just check that it doesn't throw
       && RegExp('.', 's').exec('\n')
       && RegExp[Symbol.species];
-  },
+  }],
   'es.regexp.dot-all': function () {
     return RegExp('.', 's').dotAll;
   },
-  'es.regexp.exec': function () {
+  'es.regexp.exec': [NCG_SUPPORT, function () {
     var re1 = /a/;
     var re2 = /b*/g;
     var reSticky = new RegExp('a', 'y');
@@ -812,7 +818,7 @@ GLOBAL.tests = {
       && (reSticky.lastIndex = 1, reSticky.exec('bac')[0] === 'a')
       && (reStickyAnchored.lastIndex = 2, reStickyAnchored.exec('cba') === null)
       && RegExp('.', 's').exec('\n');
-  },
+  }],
   'es.regexp.flags': function () {
     return Object.getOwnPropertyDescriptor(RegExp.prototype, 'flags').get.call({ dotAll: true, sticky: true }) === 'sy';
   },
@@ -893,7 +899,7 @@ GLOBAL.tests = {
   'es.string.repeat': function () {
     return String.prototype.repeat;
   },
-  'es.string.replace': function () {
+  'es.string.replace': [NCG_SUPPORT, function () {
     var O = {};
     O[Symbol.replace] = function () { return 7; };
 
@@ -902,20 +908,12 @@ GLOBAL.tests = {
     re.exec = function () { execCalled = true; return null; };
     re[Symbol.replace]('');
 
-    var re2 = /./;
-    re2.exec = function () {
-      var result = [];
-      result.groups = { a: '7' };
-      return result;
-    };
-
     return ''.replace(O) == 7
       && execCalled
-      && ''.replace(re2, '$<a>') === '7'
       // eslint-disable-next-line regexp/prefer-escape-replacement-dollar-char -- required for testing
       && 'a'.replace(/./, '$0') === '$0'
       && /./[Symbol.replace]('a', '$0') === '$0';
-  },
+  }],
   'es.string.replace-all': function () {
     return String.prototype.replaceAll;
   },
diff --git a/tests/tests/es.regexp.constructor.js b/tests/tests/es.regexp.constructor.js
index 2b7fde551864..4caede090604 100644
--- a/tests/tests/es.regexp.constructor.js
+++ b/tests/tests/es.regexp.constructor.js
@@ -69,5 +69,14 @@ if (DESCRIPTORS) {
     assert.same(RegExp('(?<a>b)', (typeof '').charAt(5)).exec('b').groups?.a, 'b', 'NCG #1');
     // eslint-disable-next-line regexp/no-unused-capturing-group -- required for testing
     assert.same(RegExp('(b)', (typeof '').charAt(5)).exec('b').groups, undefined, 'NCG #2');
+    assert.same('foo:abc,bar:def'.replace(RegExp('foo:(?<foo>\\w+),bar:(?<bar>\\w+)'), '$<bar>,$<foo>'), 'def,abc', 'replace #1');
+    assert.same('foo:abc,bar:def'.replace(RegExp('foo:(?<foo>\\w+),bar:(?<bar>\\w+)'), (...args) => {
+      const { foo, bar } = args.pop();
+      return `${ bar },${ foo }`;
+    }), 'def,abc', 'replace #2');
+    // eslint-disable-next-line no-invalid-regexp -- required for testing
+    assert.throws(() => RegExp('(?<1a>b)'), SyntaxError, 'incorrect group name #1');
+    // eslint-disable-next-line no-invalid-regexp -- required for testing
+    assert.throws(() => RegExp('(?<a#>b)'), SyntaxError, 'incorrect group name #2');
   });
 }