diff --git a/src/wp-includes/post.php b/src/wp-includes/post.php
index 3819bbdc3b..d677b4afe0 100644
--- a/src/wp-includes/post.php
+++ b/src/wp-includes/post.php
@@ -4207,7 +4207,7 @@ function wp_insert_post( $postarr, $wp_error = false ) {
 	 *
 	 * @param int     $post_ID Post ID.
 	 * @param WP_Post $post    Post object.
-	 * @param bool    $update  Whether this is an existing post being updated or not.
+	 * @param bool    $update  Whether this is an existing post being updated.
 	 */
 	do_action( "save_post_{$post->post_type}", $post_ID, $post, $update );
 
@@ -4218,7 +4218,7 @@ function wp_insert_post( $postarr, $wp_error = false ) {
 	 *
 	 * @param int     $post_ID Post ID.
 	 * @param WP_Post $post    Post object.
-	 * @param bool    $update  Whether this is an existing post being updated or not.
+	 * @param bool    $update  Whether this is an existing post being updated.
 	 */
 	do_action( 'save_post', $post_ID, $post, $update );
 
@@ -4229,7 +4229,7 @@ function wp_insert_post( $postarr, $wp_error = false ) {
 	 *
 	 * @param int     $post_ID Post ID.
 	 * @param WP_Post $post    Post object.
-	 * @param bool    $update  Whether this is an existing post being updated or not.
+	 * @param bool    $update  Whether this is an existing post being updated.
 	 */
 	do_action( 'wp_insert_post', $post_ID, $post, $update );
 
diff --git a/src/wp-includes/taxonomy.php b/src/wp-includes/taxonomy.php
index d02aa9b9e4..707e26359c 100644
--- a/src/wp-includes/taxonomy.php
+++ b/src/wp-includes/taxonomy.php
@@ -2414,6 +2414,32 @@ function wp_insert_term( $term, $taxonomy, $args = array() ) {
 	 */
 	do_action( "created_{$taxonomy}", $term_id, $tt_id );
 
+	/**
+	 * Fires after a term has been saved, and the term cache has been cleared.
+	 *
+	 * @since 5.5.0
+	 *
+	 * @param int    $term_id  Term ID.
+	 * @param int    $tt_id    Term taxonomy ID.
+	 * @param string $taxonomy Taxonomy slug.
+	 * @param bool   $update   Whether this is an existing term being updated.
+	 */
+	do_action( 'saved_term', $term_id, $tt_id, $taxonomy, false );
+
+	/**
+	 * Fires after a term in a specific taxonomy has been saved, and the term
+	 * cache has been cleared.
+	 *
+	 * The dynamic portion of the hook name, `$taxonomy`, refers to the taxonomy slug.
+	 *
+	 * @since 5.5.0
+	 *
+	 * @param int  $term_id Term ID.
+	 * @param int  $tt_id   Term taxonomy ID.
+	 * @param bool $update  Whether this is an existing term being updated.
+	 */
+	do_action( "saved_{$taxonomy}", $term_id, $tt_id, false );
+
 	return array(
 		'term_id'          => $term_id,
 		'term_taxonomy_id' => $tt_id,
@@ -3078,6 +3104,12 @@ function wp_update_term( $term_id, $taxonomy, $args = array() ) {
 	 */
 	do_action( "edited_{$taxonomy}", $term_id, $tt_id );
 
+	/** This action is documented in wp-includes/taxonomy.php */
+	do_action( 'saved_term', $term_id, $tt_id, $taxonomy, true );
+
+	/** This action is documented in wp-includes/taxonomy.php */
+	do_action( "saved_{$taxonomy}", $term_id, $tt_id, true );
+
 	return array(
 		'term_id'          => $term_id,
 		'term_taxonomy_id' => $tt_id,