Index: wp-admin/edit-tags.php
===================================================================
--- wp-admin/edit-tags.php	(revision 37548)
+++ wp-admin/edit-tags.php	(working copy)
@@ -533,7 +533,22 @@
 </form></div>
 <?php }
 
-if ( ! is_null( $tax->labels->popular_items ) ) {
+$show_admin_popular_items = ! is_null( $tax->labels->popular_items );
+
+/**
+ * Filters whether to show the popular items tag cloud in the taxonomy admin screen.
+ *
+ * This filter controls the visibility of the popular items tag cloud in the
+ * taxonomy admin screen.
+ *
+ * By default, the tag cloud is visible on non-hierarchy taxonomies admin pages.
+ * You can hide it using `__return_false`.
+ *
+ * @since 4.6.0
+ *
+ * @param bool $show_admin_popular_items Whether to show the popular items tag cloud.
+ */
+if ( apply_filters( 'show_admin_popular_items_tag_cloud', $show_admin_popular_items ) ) {
 	if ( current_user_can( $tax->cap->edit_terms ) ) {
 		$tag_cloud = wp_tag_cloud( array( 'taxonomy' => $taxonomy, 'post_type' => $post_type, 'echo' => false, 'link' => 'edit' ) );
 	} else {
@@ -540,14 +555,14 @@
 		$tag_cloud = wp_tag_cloud( array( 'taxonomy' => $taxonomy, 'echo' => false ) );
 	}
 
-	if ( $tag_cloud ) :
-	?>
+	if ( $tag_cloud ) {
+?>
 <div class="tagcloud">
 <h2><?php echo $tax->labels->popular_items; ?></h2>
 <?php echo $tag_cloud; unset( $tag_cloud ); ?>
 </div>
 <?php
-	endif;
+	}
 }
 
 ?>
