diff --git a/CHANGELOG.md b/CHANGELOG.md
index 35119bc0e4..8fdd66f1da 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -28,10 +28,12 @@ should change the heading of the (upcoming) version to include a major version b
   - [#2069](https://github.com/rjsf-team/react-jsonschema-form/issues/2069)
   - [#1661](https://github.com/rjsf-team/react-jsonschema-form/issues/1661)
   - And probably others
+- Updated `ObjectField` to deal with additionalProperties with anyOf/oneOf, fixing [#2538](https://github.com/rjsf-team/react-jsonschema-form/issues/2538)
 
 # @rjsf/utils
 - Added new `getClosestMatchingOption()`, `getFirstMatchingOption()` and `sanitizeDataForNewSchema()` schema-based utility functions
   - Deprecated `getMatchingOption()` and updated all calls to it in other utility functions to use `getFirstMatchingOption()`
+- Updated `stubExistingAdditionalProperties` to deal with additionalProperties with anyOf/oneOf, fixing [#2538](https://github.com/rjsf-team/react-jsonschema-form/issues/2538)
 
 ## Dev / docs / playground
 - Updated the playground to `onFormDataEdited()` to only change the formData in the state if the `JSON.stringify()` of the old and new values are different, partially fixing [#3236](https://github.com/rjsf-team/react-jsonschema-form/issues/3236)
diff --git a/packages/core/src/components/fields/ObjectField.tsx b/packages/core/src/components/fields/ObjectField.tsx
index ffb16f577f..3885a96096 100644
--- a/packages/core/src/components/fields/ObjectField.tsx
+++ b/packages/core/src/components/fields/ObjectField.tsx
@@ -13,6 +13,8 @@ import {
   ADDITIONAL_PROPERTY_FLAG,
   PROPERTIES_KEY,
   REF_KEY,
+  ANY_OF_KEY,
+  ONE_OF_KEY,
 } from "@rjsf/utils";
 import get from "lodash/get";
 import has from "lodash/has";
@@ -203,13 +205,17 @@ class ObjectField<
     let type: RJSFSchema["type"] = undefined;
     if (isObject(schema.additionalProperties)) {
       type = schema.additionalProperties.type;
-      if (REF_KEY in schema.additionalProperties) {
+      let apSchema = schema.additionalProperties;
+      if (REF_KEY in apSchema) {
         const { schemaUtils } = registry;
-        const refSchema = schemaUtils.retrieveSchema(
-          { $ref: schema.additionalProperties[REF_KEY] } as S,
+        apSchema = schemaUtils.retrieveSchema(
+          { $ref: apSchema[REF_KEY] } as S,
           formData
         );
-        type = refSchema.type;
+        type = apSchema.type;
+      }
+      if (!type && (ANY_OF_KEY in apSchema || ONE_OF_KEY in apSchema)) {
+        type = "object";
       }
     }
 
diff --git a/packages/core/test/anyOf_test.js b/packages/core/test/anyOf_test.js
index 21b7a82b93..baaad3cac7 100644
--- a/packages/core/test/anyOf_test.js
+++ b/packages/core/test/anyOf_test.js
@@ -839,6 +839,71 @@ describe("anyOf", () => {
     expect(options[1].firstChild.nodeValue).eql("Person");
   });
 
+  it("should select anyOf in additionalProperties with anyOf", () => {
+    const schema = {
+      type: "object",
+      properties: {
+        testProperty: {
+          description: "Any key name, fixed set of possible values",
+          type: "object",
+          minProperties: 1,
+          additionalProperties: {
+            anyOf: [
+              {
+                title: "my choice 1",
+                type: "object",
+                properties: {
+                  prop1: {
+                    description: "prop1 description",
+                    type: "string",
+                  },
+                },
+                required: ["prop1"],
+                additionalProperties: false,
+              },
+              {
+                title: "my choice 2",
+                type: "object",
+                properties: {
+                  prop2: {
+                    description: "prop2 description",
+                    type: "string",
+                  },
+                },
+                required: ["prop2"],
+                additionalProperties: false,
+              },
+            ],
+          },
+        },
+      },
+      required: ["testProperty"],
+    };
+
+    const { node, onChange } = createFormComponent({
+      schema,
+      formData: { testProperty: { newKey: { prop2: "foo" } } },
+    });
+
+    const $select = node.querySelector(
+      "select#root_testProperty_newKey__anyof_select"
+    );
+
+    expect($select.value).eql("1");
+
+    Simulate.change($select, {
+      target: { value: $select.options[0].value },
+    });
+
+    expect($select.value).eql("0");
+
+    sinon.assert.calledWithMatch(onChange.lastCall, {
+      formData: {
+        testProperty: { newKey: { prop1: undefined, prop2: undefined } },
+      },
+    });
+  });
+
   describe("Arrays", () => {
     it("should correctly render form inputs for anyOf inside array items", () => {
       const schema = {
diff --git a/packages/core/test/oneOf_test.js b/packages/core/test/oneOf_test.js
index f7af74819a..578897e0c3 100644
--- a/packages/core/test/oneOf_test.js
+++ b/packages/core/test/oneOf_test.js
@@ -665,6 +665,71 @@ describe("oneOf", () => {
     );
   });
 
+  it("should select oneOf in additionalProperties with oneOf", () => {
+    const schema = {
+      type: "object",
+      properties: {
+        testProperty: {
+          description: "Any key name, fixed set of possible values",
+          type: "object",
+          minProperties: 1,
+          additionalProperties: {
+            oneOf: [
+              {
+                title: "my choice 1",
+                type: "object",
+                properties: {
+                  prop1: {
+                    description: "prop1 description",
+                    type: "string",
+                  },
+                },
+                required: ["prop1"],
+                additionalProperties: false,
+              },
+              {
+                title: "my choice 2",
+                type: "object",
+                properties: {
+                  prop2: {
+                    description: "prop2 description",
+                    type: "string",
+                  },
+                },
+                required: ["prop2"],
+                additionalProperties: false,
+              },
+            ],
+          },
+        },
+      },
+      required: ["testProperty"],
+    };
+
+    const { node, onChange } = createFormComponent({
+      schema,
+      formData: { testProperty: { newKey: { prop2: "foo" } } },
+    });
+
+    const $select = node.querySelector(
+      "select#root_testProperty_newKey__oneof_select"
+    );
+
+    expect($select.value).eql("1");
+
+    Simulate.change($select, {
+      target: { value: $select.options[0].value },
+    });
+
+    expect($select.value).eql("0");
+
+    sinon.assert.calledWithMatch(onChange.lastCall, {
+      formData: {
+        testProperty: { newKey: { prop1: undefined, prop2: undefined } },
+      },
+    });
+  });
+
   describe("Arrays", () => {
     it("should correctly render mixed types for oneOf inside array items", () => {
       const schema = {
diff --git a/packages/utils/src/schema/retrieveSchema.ts b/packages/utils/src/schema/retrieveSchema.ts
index 0ba242a417..2868636603 100644
--- a/packages/utils/src/schema/retrieveSchema.ts
+++ b/packages/utils/src/schema/retrieveSchema.ts
@@ -6,7 +6,9 @@ import {
   ADDITIONAL_PROPERTIES_KEY,
   ADDITIONAL_PROPERTY_FLAG,
   ALL_OF_KEY,
+  ANY_OF_KEY,
   DEPENDENCIES_KEY,
+  ONE_OF_KEY,
   REF_KEY,
 } from "../constants";
 import findSchemaDefinition, {
@@ -205,6 +207,14 @@ export function stubExistingAdditionalProperties<
         );
       } else if ("type" in schema.additionalProperties!) {
         additionalProperties = { ...schema.additionalProperties };
+      } else if (
+        ANY_OF_KEY in schema.additionalProperties! ||
+        ONE_OF_KEY in schema.additionalProperties!
+      ) {
+        additionalProperties = {
+          type: "object",
+          ...schema.additionalProperties,
+        };
       } else {
         additionalProperties = { type: guessType(get(formData, [key])) };
       }
diff --git a/packages/utils/test/schema/retrieveSchemaTest.ts b/packages/utils/test/schema/retrieveSchemaTest.ts
index adbccfa2fc..c2b9685f79 100644
--- a/packages/utils/test/schema/retrieveSchemaTest.ts
+++ b/packages/utils/test/schema/retrieveSchemaTest.ts
@@ -171,6 +171,64 @@ export default function retrieveSchemaTest(testValidator: TestValidatorType) {
       });
     });
 
+    it("should `resolve` and stub out a schema which contains an `additionalProperties` with oneOf", () => {
+      const oneOf: RJSFSchema[] = [
+        {
+          type: "string",
+        },
+        {
+          type: "number",
+        },
+      ];
+      const schema: RJSFSchema = {
+        additionalProperties: {
+          oneOf,
+        },
+        type: "object",
+      };
+
+      const formData = { newKey: {} };
+      expect(retrieveSchema(testValidator, schema, {}, formData)).toEqual({
+        ...schema,
+        properties: {
+          newKey: {
+            type: "object",
+            oneOf,
+            [ADDITIONAL_PROPERTY_FLAG]: true,
+          },
+        },
+      });
+    });
+
+    it("should `resolve` and stub out a schema which contains an `additionalProperties` with anyOf", () => {
+      const anyOf: RJSFSchema[] = [
+        {
+          type: "string",
+        },
+        {
+          type: "number",
+        },
+      ];
+      const schema: RJSFSchema = {
+        additionalProperties: {
+          anyOf,
+        },
+        type: "object",
+      };
+
+      const formData = { newKey: {} };
+      expect(retrieveSchema(testValidator, schema, {}, formData)).toEqual({
+        ...schema,
+        properties: {
+          newKey: {
+            type: "object",
+            anyOf,
+            [ADDITIONAL_PROPERTY_FLAG]: true,
+          },
+        },
+      });
+    });
+
     it("should handle null formData for schema which contains additionalProperties", () => {
       const schema: RJSFSchema = {
         additionalProperties: {