diff --git a/packages/fields/src/actions/rename-post.tsx b/packages/fields/src/actions/rename-post.tsx
index ece201112419f9..2dcb58fd6eb526 100644
--- a/packages/fields/src/actions/rename-post.tsx
+++ b/packages/fields/src/actions/rename-post.tsx
@@ -35,6 +35,12 @@ const renamePost: Action< PostWithPermissions > = {
 		if ( post.status === 'trash' ) {
 			return false;
 		}
+
+		// Non-database template cannot be edited.
+		if ( post.type === 'wp_template' && typeof post.id === 'string' ) {
+			return false;
+		}
+
 		// Templates, template parts and patterns have special checks for renaming.
 		if (
 			! [
diff --git a/packages/fields/src/actions/trash-post.tsx b/packages/fields/src/actions/trash-post.tsx
index d9f7e561306713..6fbbda11618f3b 100644
--- a/packages/fields/src/actions/trash-post.tsx
+++ b/packages/fields/src/actions/trash-post.tsx
@@ -31,6 +31,11 @@ const trashPost: Action< PostWithPermissions > = {
 			return false;
 		}
 
+		// Non-database template cannot be trashed.
+		if ( item.type === 'wp_template' && typeof item.id === 'string' ) {
+			return false;
+		}
+
 		return (
 			!! item.status &&
 			! [ 'auto-draft', 'trash' ].includes( item.status ) &&