diff -u b/menu_block.module b/menu_block.module
--- b/menu_block.module
+++ b/menu_block.module
@@ -119,5 +119,5 @@
     // `{{ label }}`. Therefore, we have to set both template variables for
     // this to work consistently.
-    $variables['configuration']['label'] = $variables['label'] = $config_label;
+    $variables['configuration']['label'] = $variables['label'] = !empty($variables['configuration']['label_display']) ? $config_label : '';
   }
 }