diff --git a/packages/blocks/src/store/selectors.js b/packages/blocks/src/store/selectors.js
index 1afae5f0de0877..28e25145f15f13 100644
--- a/packages/blocks/src/store/selectors.js
+++ b/packages/blocks/src/store/selectors.js
@@ -332,7 +332,8 @@ export function isMatchingSearchTerm( state, nameOrType, searchTerm ) {
 	return (
 		isSearchMatch( blockType.title ) ||
 		some( blockType.keywords, isSearchMatch ) ||
-		isSearchMatch( blockType.category )
+		isSearchMatch( blockType.category ) ||
+		isSearchMatch( blockType.description )
 	);
 }
 
diff --git a/packages/blocks/src/store/test/selectors.js b/packages/blocks/src/store/test/selectors.js
index 47b521f05bc30e..32ebe238373582 100644
--- a/packages/blocks/src/store/test/selectors.js
+++ b/packages/blocks/src/store/test/selectors.js
@@ -586,6 +586,7 @@ describe( 'selectors', () => {
 			title: 'Paragraph',
 			category: 'text',
 			keywords: [ 'body' ],
+			description: 'writing flow',
 		};
 
 		const state = {
@@ -598,6 +599,10 @@ describe( 'selectors', () => {
 			[ 'name', name ],
 			[ 'block type', blockType ],
 			[ 'block type without category', omit( blockType, 'category' ) ],
+			[
+				'block type without description',
+				omit( blockType, 'description' ),
+			],
 		] )( 'by %s', ( label, nameOrType ) => {
 			it( 'should return false if not match', () => {
 				const result = isMatchingSearchTerm(
@@ -670,6 +675,18 @@ describe( 'selectors', () => {
 					expect( result ).toBe( true );
 				} );
 			}
+
+			if ( nameOrType.description ) {
+				it( 'should return true if match using the description', () => {
+					const result = isMatchingSearchTerm(
+						state,
+						nameOrType,
+						'flow'
+					);
+
+					expect( result ).toBe( true );
+				} );
+			}
 		} );
 	} );
 
diff --git a/packages/e2e-tests/specs/site-editor/global-styles-sidebar.test.js b/packages/e2e-tests/specs/site-editor/global-styles-sidebar.test.js
new file mode 100644
index 00000000000000..36b615d202926b
--- /dev/null
+++ b/packages/e2e-tests/specs/site-editor/global-styles-sidebar.test.js
@@ -0,0 +1,42 @@
+/**
+ * WordPress dependencies
+ */
+import {
+	deleteAllTemplates,
+	activateTheme,
+	visitSiteEditor,
+	toggleGlobalStyles,
+	openGlobalStylesPanel,
+} from '@wordpress/e2e-test-utils';
+
+describe( 'Global styles sidebar', () => {
+	beforeAll( async () => {
+		await activateTheme( 'emptytheme' );
+		await Promise.all( [
+			deleteAllTemplates( 'wp_template' ),
+			deleteAllTemplates( 'wp_template_part' ),
+		] );
+	} );
+	afterAll( async () => {
+		await Promise.all( [
+			deleteAllTemplates( 'wp_template' ),
+			deleteAllTemplates( 'wp_template_part' ),
+		] );
+		await activateTheme( 'twentytwentyone' );
+	} );
+	beforeEach( async () => {
+		await visitSiteEditor();
+	} );
+	describe( 'blocks list', () => {
+		it( 'should filter results properly', async () => {
+			await toggleGlobalStyles();
+			await openGlobalStylesPanel( 'Blocks' );
+			await page.focus( '.edit-site-block-types-search input' );
+			await page.keyboard.type( 'heading' );
+			const results = await page.$$(
+				'.edit-site-block-types-item-list div[role="listitem"]'
+			);
+			expect( results.length ).toEqual( 1 );
+		} );
+	} );
+} );
diff --git a/packages/edit-site/src/components/global-styles/screen-block-list.js b/packages/edit-site/src/components/global-styles/screen-block-list.js
index ac50ce5f672ee3..194192c8b113bf 100644
--- a/packages/edit-site/src/components/global-styles/screen-block-list.js
+++ b/packages/edit-site/src/components/global-styles/screen-block-list.js
@@ -2,13 +2,17 @@
  * WordPress dependencies
  */
 import { store as blocksStore } from '@wordpress/blocks';
-import { useSelect } from '@wordpress/data';
-import { __ } from '@wordpress/i18n';
+import { __, sprintf, _n } from '@wordpress/i18n';
 import {
 	FlexItem,
+	SearchControl,
 	__experimentalHStack as HStack,
 } from '@wordpress/components';
+import { useSelect } from '@wordpress/data';
+import { useState, useMemo, useEffect, useRef } from '@wordpress/element';
 import { BlockIcon } from '@wordpress/block-editor';
+import { useDebounce } from '@wordpress/compose';
+import { speak } from '@wordpress/a11y';
 
 /**
  * Internal dependencies
@@ -68,6 +72,45 @@ function BlockMenuItem( { block } ) {
 
 function ScreenBlockList() {
 	const sortedBlockTypes = useSortedBlockTypes();
+	const [ filterValue, setFilterValue ] = useState( '' );
+	const debouncedSpeak = useDebounce( speak, 500 );
+	const isMatchingSearchTerm = useSelect(
+		( select ) => select( blocksStore ).isMatchingSearchTerm,
+		[]
+	);
+	const filteredBlockTypes = useMemo( () => {
+		if ( ! filterValue ) {
+			return sortedBlockTypes;
+		}
+		return sortedBlockTypes.filter( ( blockType ) =>
+			isMatchingSearchTerm( blockType, filterValue )
+		);
+	}, [ filterValue, sortedBlockTypes, isMatchingSearchTerm ] );
+
+	const blockTypesListRef = useRef();
+
+	// Announce search results on change
+	useEffect( () => {
+		if ( ! filterValue ) {
+			return;
+		}
+		// We extract the results from the wrapper div's `ref` because
+		// filtered items can contain items that will eventually not
+		// render and there is no reliable way to detect when a child
+		// will return `null`.
+		// TODO: We should find a better way of handling this as it's
+		// fragile and depends on the number of rendered elements of `BlockMenuItem`,
+		// which is now one.
+		// @see https://github.com/WordPress/gutenberg/pull/39117#discussion_r816022116
+		const count = blockTypesListRef.current.childElementCount;
+		const resultsFoundMessage = sprintf(
+			/* translators: %d: number of results. */
+			_n( '%d result found.', '%d results found.', count ),
+			count
+		);
+		debouncedSpeak( resultsFoundMessage, count );
+	}, [ filterValue, debouncedSpeak ] );
+
 	return (
 		<>
 			<ScreenHeader
@@ -76,12 +119,24 @@ function ScreenBlockList() {
 					'Customize the appearance of specific blocks and for the whole site.'
 				) }
 			/>
-			{ sortedBlockTypes.map( ( block ) => (
-				<BlockMenuItem
-					block={ block }
-					key={ 'menu-itemblock-' + block.name }
-				/>
-			) ) }
+			<SearchControl
+				className="edit-site-block-types-search"
+				onChange={ setFilterValue }
+				value={ filterValue }
+				label={ __( 'Search for blocks' ) }
+				placeholder={ __( 'Search' ) }
+			/>
+			<div
+				ref={ blockTypesListRef }
+				className="edit-site-block-types-item-list"
+			>
+				{ filteredBlockTypes.map( ( block ) => (
+					<BlockMenuItem
+						block={ block }
+						key={ 'menu-itemblock-' + block.name }
+					/>
+				) ) }
+			</div>
 		</>
 	);
 }
diff --git a/packages/edit-site/src/components/global-styles/style.scss b/packages/edit-site/src/components/global-styles/style.scss
index 480c060835436c..122b753dffa172 100644
--- a/packages/edit-site/src/components/global-styles/style.scss
+++ b/packages/edit-site/src/components/global-styles/style.scss
@@ -44,7 +44,8 @@
 	}
 }
 
-.edit-site-global-styles-header__description {
+.edit-site-global-styles-header__description,
+.edit-site-block-types-search {
 	padding: 0 $grid-unit-20;
 }