diff --git a/wp-includes/rest-api.php b/wp-includes/rest-api.php
index c3c8a09d03..2c96ef6bff 100644
--- a/wp-includes/rest-api.php
+++ b/wp-includes/rest-api.php
@@ -276,6 +276,7 @@ function create_initial_rest_routes() {
 	$search_handlers = array(
 		new WP_REST_Post_Search_Handler(),
 		new WP_REST_Term_Search_Handler(),
+		new WP_REST_Post_Format_Search_Handler(),
 	);
 
 	/**
diff --git a/wp-includes/rest-api/search/class-wp-rest-post-format-search-handler.php b/wp-includes/rest-api/search/class-wp-rest-post-format-search-handler.php
new file mode 100644
index 0000000000..ced445ed56
--- /dev/null
+++ b/wp-includes/rest-api/search/class-wp-rest-post-format-search-handler.php
@@ -0,0 +1,128 @@
+<?php
+/**
+ * REST API: WP_REST_Post_Format_Search_Handler class
+ *
+ * @package WordPress
+ * @subpackage REST_API
+ * @since 5.6.0
+ */
+
+/**
+ * Core class representing a search handler for post formats in the REST API.
+ *
+ * @since 5.6.0
+ *
+ * @see WP_REST_Search_Handler
+ */
+class WP_REST_Post_Format_Search_Handler extends WP_REST_Search_Handler {
+
+	/**
+	 * Constructor.
+	 *
+	 * @since 5.6.0
+	 */
+	public function __construct() {
+		$this->type = 'post-format';
+	}
+
+	/**
+	 * Searches the object type content for a given search request.
+	 *
+	 * @since 5.6.0
+	 *
+	 * @param WP_REST_Request $request Full REST request.
+	 * @return array Associative array containing an `WP_REST_Search_Handler::RESULT_IDS` containing
+	 *               an array of found IDs and `WP_REST_Search_Handler::RESULT_TOTAL` containing the
+	 *               total count for the matching search results.
+	 */
+	public function search_items( WP_REST_Request $request ) {
+		$format_strings = get_post_format_strings();
+		$format_slugs   = array_keys( $format_strings );
+
+		$query_args = array();
+
+		if ( ! empty( $request['search'] ) ) {
+			$query_args['search'] = $request['search'];
+		}
+
+		/**
+		 * Filters the query arguments for a search request.
+		 *
+		 * Enables adding extra arguments or setting defaults for a post format search request.
+		 *
+		 * @since 5.6.0
+		 *
+		 * @param array           $query_args Key value array of query var to query value.
+		 * @param WP_REST_Request $request    The request used.
+		 */
+		$query_args = apply_filters( 'rest_post_format_search_query', $query_args, $request );
+
+		$found_ids = array();
+		foreach ( $format_slugs as $index => $format_slug ) {
+			if ( ! empty( $query_args['search'] ) ) {
+				$format_string       = get_post_format_string( $format_slug );
+				$format_slug_match   = stripos( $format_slug, $query_args['search'] ) !== false;
+				$format_string_match = stripos( $format_string, $query_args['search'] ) !== false;
+				if ( ! $format_slug_match && ! $format_string_match ) {
+					continue;
+				}
+			}
+
+			$format_link = get_post_format_link( $format_slug );
+			if ( $format_link ) {
+				$found_ids[] = $format_slug;
+			}
+		}
+
+		$page     = (int) $request['page'];
+		$per_page = (int) $request['per_page'];
+
+		return array(
+			self::RESULT_IDS   => array_slice( $found_ids, ( $page - 1 ) * $per_page, $per_page ),
+			self::RESULT_TOTAL => count( $found_ids ),
+		);
+	}
+
+	/**
+	 * Prepares the search result for a given ID.
+	 *
+	 * @since 5.6.0
+	 *
+	 * @param string $id     Item ID, the post format slug.
+	 * @param array  $fields Fields to include for the item.
+	 * @return array Associative array containing all fields for the item.
+	 */
+	public function prepare_item( $id, array $fields ) {
+		$data = array();
+
+		if ( in_array( WP_REST_Search_Controller::PROP_ID, $fields, true ) ) {
+			$data[ WP_REST_Search_Controller::PROP_ID ] = $id;
+		}
+
+		if ( in_array( WP_REST_Search_Controller::PROP_TITLE, $fields, true ) ) {
+			$data[ WP_REST_Search_Controller::PROP_TITLE ] = get_post_format_string( $id );
+		}
+
+		if ( in_array( WP_REST_Search_Controller::PROP_URL, $fields, true ) ) {
+			$data[ WP_REST_Search_Controller::PROP_URL ] = get_post_format_link( $id );
+		}
+
+		if ( in_array( WP_REST_Search_Controller::PROP_TYPE, $fields, true ) ) {
+			$data[ WP_REST_Search_Controller::PROP_TYPE ] = $this->type;
+		}
+
+		return $data;
+	}
+
+	/**
+	 * Prepares links for the search result.
+	 *
+	 * @since 5.6.0
+	 *
+	 * @param string $id Item ID, the post format slug.
+	 * @return array Links for the given item.
+	 */
+	public function prepare_item_links( $id ) {
+		return array();
+	}
+}
diff --git a/wp-includes/version.php b/wp-includes/version.php
index 9a8baac864..6546bd93da 100644
--- a/wp-includes/version.php
+++ b/wp-includes/version.php
@@ -13,7 +13,7 @@
  *
  * @global string $wp_version
  */
-$wp_version = '5.6-alpha-49131';
+$wp_version = '5.6-alpha-49132';
 
 /**
  * Holds the WordPress DB revision, increments when changes are made to the WordPress DB schema.
diff --git a/wp-settings.php b/wp-settings.php
index f777b60a5e..3f247cc8c9 100644
--- a/wp-settings.php
+++ b/wp-settings.php
@@ -269,6 +269,7 @@ require ABSPATH . WPINC . '/rest-api/fields/class-wp-rest-user-meta-fields.php';
 require ABSPATH . WPINC . '/rest-api/search/class-wp-rest-search-handler.php';
 require ABSPATH . WPINC . '/rest-api/search/class-wp-rest-post-search-handler.php';
 require ABSPATH . WPINC . '/rest-api/search/class-wp-rest-term-search-handler.php';
+require ABSPATH . WPINC . '/rest-api/search/class-wp-rest-post-format-search-handler.php';
 require ABSPATH . WPINC . '/sitemaps.php';
 require ABSPATH . WPINC . '/sitemaps/class-wp-sitemaps.php';
 require ABSPATH . WPINC . '/sitemaps/class-wp-sitemaps-index.php';