diff --git a/docs/reference-guides/data/data-core-notices.md b/docs/reference-guides/data/data-core-notices.md
index c5e3bc017a9146..18fcf37ad224b9 100644
--- a/docs/reference-guides/data/data-core-notices.md
+++ b/docs/reference-guides/data/data-core-notices.md
@@ -309,4 +309,49 @@ _Returns_
 
 -   `Object`: Action object.
 
+### removeNotices
+
+Returns an action object used in signalling that several notices are to be removed.
+
+_Usage_
+
+```js
+import { __ } from '@wordpress/i18n';
+import { useDispatch, useSelect } from '@wordpress/data';
+import { store as noticesStore } from '@wordpress/notices';
+import { Button } from '@wordpress/components';
+
+const ExampleComponent = () => {
+	const notices = useSelect( ( select ) =>
+		select( noticesStore ).getNotices()
+	);
+	const { removeNotices } = useDispatch( noticesStore );
+	return (
+		<>
+			<ul>
+				{ notices.map( ( notice ) => (
+					<li key={ notice.id }>{ notice.content }</li>
+				) ) }
+			</ul>
+			<Button
+				onClick={ () =>
+					removeNotices( notices.map( ( { id } ) => id ) )
+				}
+			>
+				{ __( 'Clear all notices' ) }
+			</Button>
+		</>
+	);
+};
+```
+
+_Parameters_
+
+-   _ids_ `string[]`: List of unique notice identifiers.
+-   _context_ `[string]`: Optional context (grouping) in which the notices are intended to appear. Defaults to default context.
+
+_Returns_
+
+-   `Object`: Action object.
+
 <!-- END TOKEN(Autogenerated actions|../../../packages/notices/src/store/actions.js) -->
diff --git a/packages/notices/CHANGELOG.md b/packages/notices/CHANGELOG.md
index 15e471a65d36a5..770b0b532e662c 100644
--- a/packages/notices/CHANGELOG.md
+++ b/packages/notices/CHANGELOG.md
@@ -2,6 +2,10 @@
 
 ## Unreleased
 
+### New Feature
+
+-   Add a new action `removeNotices` which allows bulk removal of notices by their IDs. ([#39940](https://github.com/WordPress/gutenberg/pull/39940))
+
 ## 4.2.0 (2023-05-24)
 
 ## 4.1.0 (2023-05-10)
diff --git a/packages/notices/src/store/actions.js b/packages/notices/src/store/actions.js
index a8fdb13f9352fc..0ddcc769c51467 100644
--- a/packages/notices/src/store/actions.js
+++ b/packages/notices/src/store/actions.js
@@ -313,3 +313,49 @@ export function removeNotice( id, context = DEFAULT_CONTEXT ) {
 		context,
 	};
 }
+
+/**
+ * Returns an action object used in signalling that several notices are to be removed.
+ *
+ * @param {string[]} ids                List of unique notice identifiers.
+ * @param {string}   [context='global'] Optional context (grouping) in which the notices are
+ *                                      intended to appear. Defaults to default context.
+ * @example
+ * ```js
+ * import { __ } from '@wordpress/i18n';
+ * import { useDispatch, useSelect } from '@wordpress/data';
+ * import { store as noticesStore } from '@wordpress/notices';
+ * import { Button } from '@wordpress/components';
+ *
+ * const ExampleComponent = () => {
+ * 	const notices = useSelect( ( select ) =>
+ * 		select( noticesStore ).getNotices()
+ * 	);
+ * 	const { removeNotices } = useDispatch( noticesStore );
+ * 	return (
+ * 		<>
+ * 			<ul>
+ * 				{ notices.map( ( notice ) => (
+ * 					<li key={ notice.id }>{ notice.content }</li>
+ * 				) ) }
+ * 			</ul>
+ * 			<Button
+ * 				onClick={ () =>
+ * 					removeNotices( notices.map( ( { id } ) => id ) )
+ * 				}
+ * 			>
+ * 				{ __( 'Clear all notices' ) }
+ * 			</Button>
+ * 		</>
+ * 	);
+ * };
+ * ```
+ * @return {Object} Action object.
+ */
+export function removeNotices( ids, context = DEFAULT_CONTEXT ) {
+	return {
+		type: 'REMOVE_NOTICES',
+		ids,
+		context,
+	};
+}
diff --git a/packages/notices/src/store/reducer.js b/packages/notices/src/store/reducer.js
index ff2359b61cc013..6fed169af59869 100644
--- a/packages/notices/src/store/reducer.js
+++ b/packages/notices/src/store/reducer.js
@@ -23,6 +23,9 @@ const notices = onSubKey( 'context' )( ( state = [], action ) => {
 
 		case 'REMOVE_NOTICE':
 			return state.filter( ( { id } ) => id !== action.id );
+
+		case 'REMOVE_NOTICES':
+			return state.filter( ( { id } ) => ! action.ids.includes( id ) );
 	}
 
 	return state;
diff --git a/packages/notices/src/store/test/actions.js b/packages/notices/src/store/test/actions.js
index db6aa72b468dec..ed355c045e1b54 100644
--- a/packages/notices/src/store/test/actions.js
+++ b/packages/notices/src/store/test/actions.js
@@ -8,6 +8,7 @@ import {
 	createErrorNotice,
 	createWarningNotice,
 	removeNotice,
+	removeNotices,
 } from '../actions';
 import { DEFAULT_CONTEXT, DEFAULT_STATUS } from '../constants';
 
@@ -215,4 +216,27 @@ describe( 'actions', () => {
 			} );
 		} );
 	} );
+
+	describe( 'removeNotices', () => {
+		it( 'should return action', () => {
+			const ids = [ 'id', 'id2' ];
+
+			expect( removeNotices( ids ) ).toEqual( {
+				type: 'REMOVE_NOTICES',
+				ids,
+				context: DEFAULT_CONTEXT,
+			} );
+		} );
+
+		it( 'should return action with custom context', () => {
+			const ids = [ 'id', 'id2' ];
+			const context = 'foo';
+
+			expect( removeNotices( ids, context ) ).toEqual( {
+				type: 'REMOVE_NOTICES',
+				ids,
+				context,
+			} );
+		} );
+	} );
 } );
diff --git a/packages/notices/src/store/test/reducer.js b/packages/notices/src/store/test/reducer.js
index 52ba278c79d854..fe0e33b478bd63 100644
--- a/packages/notices/src/store/test/reducer.js
+++ b/packages/notices/src/store/test/reducer.js
@@ -7,7 +7,7 @@ import deepFreeze from 'deep-freeze';
  * Internal dependencies
  */
 import reducer from '../reducer';
-import { createNotice, removeNotice } from '../actions';
+import { createNotice, removeNotice, removeNotices } from '../actions';
 import { getNotices } from '../selectors';
 import { DEFAULT_CONTEXT } from '../constants';
 
@@ -141,6 +141,44 @@ describe( 'reducer', () => {
 		expect( state[ DEFAULT_CONTEXT ] ).toHaveLength( 1 );
 	} );
 
+	it( 'should omit several removed notices', () => {
+		const action = createNotice( 'error', 'save error' );
+		const action2 = createNotice( 'error', 'second error' );
+		const stateWithOneNotice = reducer( undefined, action );
+		const original = deepFreeze( reducer( stateWithOneNotice, action2 ) );
+		const ids = [
+			getNotices( original )[ 0 ].id,
+			getNotices( original )[ 1 ].id,
+		];
+
+		const state = reducer( original, removeNotices( ids ) );
+
+		expect( state ).toEqual( {
+			[ DEFAULT_CONTEXT ]: [],
+		} );
+	} );
+
+	it( 'should omit several removed notices across contexts', () => {
+		const action = createNotice( 'error', 'save error' );
+		const action2 = createNotice( 'error', 'second error', {
+			context: 'foo',
+		} );
+		const action3 = createNotice( 'error', 'third error', {
+			context: 'foo',
+		} );
+		const stateWithOneNotice = reducer( undefined, action );
+		const stateWithTwoNotices = reducer( stateWithOneNotice, action2 );
+		const original = deepFreeze( reducer( stateWithTwoNotices, action3 ) );
+		const ids = [
+			getNotices( original, 'foo' )[ 0 ].id,
+			getNotices( original, 'foo' )[ 1 ].id,
+		];
+
+		const state = reducer( original, removeNotices( ids, 'foo' ) );
+
+		expect( state[ DEFAULT_CONTEXT ] ).toHaveLength( 1 );
+	} );
+
 	it( 'should dedupe distinct ids, preferring new', () => {
 		let action = createNotice( 'error', 'save error (1)', {
 			id: 'error-message',