diff --git a/src/wp-includes/class-wp-icons-registry.php b/src/wp-includes/class-wp-icons-registry.php
index f82739fc5d91d..bafd50826c8e4 100644
--- a/src/wp-includes/class-wp-icons-registry.php
+++ b/src/wp-includes/class-wp-icons-registry.php
@@ -81,8 +81,9 @@ protected function __construct() {
 			$this->register(
 				'core/' . $icon_name,
 				array(
-					'label'    => $icon_data['label'],
-					'filePath' => $icons_directory . $icon_data['filePath'],
+					'label'     => $icon_data['label'],
+					'file_path' => $icons_directory . $icon_data['filePath'],
+					'show_in_rest' => ! empty( $icon_data['show_in_rest'] ),
 				)
 			);
 		}
@@ -97,11 +98,12 @@ protected function __construct() {
 	 * @param array  $icon_properties {
 	 *     List of properties for the icon.
 	 *
-	 *     @type string $label    Required. A human-readable label for the icon.
-	 *     @type string $content  Optional. SVG markup for the icon.
-	 *                            If not provided, the content will be retrieved from the `filePath` if set.
-	 *                            If both `content` and `filePath` are not set, the icon will not be registered.
-	 *     @type string $filePath Optional. The full path to the file containing the icon content.
+	 *     @type string $label        Required. A human-readable label for the icon.
+	 *     @type string $content      Optional. SVG markup for the icon.
+	 *                                If not provided, the content will be retrieved from the `file_path` if set.
+	 *                                If both `content` and `file_path` are not set, the icon will not be registered.
+	 *     @type string $file_path    Optional. The full path to the file containing the icon content.
+	 *     @type bool   $show_in_rest Optional. Whether the icon is available via the REST API. Default false.
 	 * }
 	 * @return bool True if the icon was registered with success and false otherwise.
 	 */
@@ -115,7 +117,7 @@ protected function register( $icon_name, $icon_properties ) {
 			return false;
 		}
 
-		$allowed_keys = array_fill_keys( array( 'label', 'content', 'filePath' ), 1 );
+		$allowed_keys = array_fill_keys( array( 'label', 'content', 'file_path', 'show_in_rest' ), 1 );
 		foreach ( array_keys( $icon_properties ) as $key ) {
 			if ( ! array_key_exists( $key, $allowed_keys ) ) {
 				_doing_it_wrong(
@@ -140,13 +142,22 @@ protected function register( $icon_name, $icon_properties ) {
 			return false;
 		}
 
+		if ( isset( $icon_properties['show_in_rest'] ) && ! is_bool( $icon_properties['show_in_rest'] ) ) {
+			_doing_it_wrong(
+				__METHOD__,
+				__( 'Icon "show_in_rest" property must be a boolean.' ),
+				'7.0.0'
+			);
+			return false;
+		}
+
 		if (
-			( ! isset( $icon_properties['content'] ) && ! isset( $icon_properties['filePath'] ) ) ||
-			( isset( $icon_properties['content'] ) && isset( $icon_properties['filePath'] ) )
+			( ! isset( $icon_properties['content'] ) && ! isset( $icon_properties['file_path'] ) ) ||
+			( isset( $icon_properties['content'] ) && isset( $icon_properties['file_path'] ) )
 		) {
 			_doing_it_wrong(
 				__METHOD__,
-				__( 'Icons must provide either `content` or `filePath`.' ),
+				__( 'Icons must provide either `content` or `file_path`.' ),
 				'7.0.0'
 			);
 			return false;
@@ -234,7 +245,7 @@ protected function sanitize_icon_content( $icon_content ) {
 	protected function get_content( $icon_name ) {
 		if ( ! isset( $this->registered_icons[ $icon_name ]['content'] ) ) {
 			$content = file_get_contents(
-				$this->registered_icons[ $icon_name ]['filePath']
+				$this->registered_icons[ $icon_name ]['file_path']
 			);
 			$content = $this->sanitize_icon_content( $content );
 
diff --git a/src/wp-includes/rest-api/endpoints/class-wp-rest-icons-controller.php b/src/wp-includes/rest-api/endpoints/class-wp-rest-icons-controller.php
index 91126b498d338..6fcdd3128d1d0 100644
--- a/src/wp-includes/rest-api/endpoints/class-wp-rest-icons-controller.php
+++ b/src/wp-includes/rest-api/endpoints/class-wp-rest-icons-controller.php
@@ -131,6 +131,9 @@ public function get_items( $request ) {
 		$search   = $request->get_param( 'search' );
 		$icons    = WP_Icons_Registry::get_instance()->get_registered_icons( $search );
 		foreach ( $icons as $icon ) {
+			if ( empty( $icon['show_in_rest'] ) ) {
+				continue;
+			}
 			$prepared_icon = $this->prepare_item_for_response( $icon, $request );
 			$response[]    = $this->prepare_response_for_collection( $prepared_icon );
 		}
@@ -167,7 +170,7 @@ public function get_icon( $name ) {
 		$registry = WP_Icons_Registry::get_instance();
 		$icon     = $registry->get_registered_icon( $name );
 
-		if ( null === $icon ) {
+		if ( null === $icon || empty( $icon['show_in_rest'] ) ) {
 			return new WP_Error(
 				'rest_icon_not_found',
 				sprintf(