Index: src/wp-admin/includes/class-wp-screen.php
===================================================================
--- src/wp-admin/includes/class-wp-screen.php	(revision 35960)
+++ src/wp-admin/includes/class-wp-screen.php	(working copy)
@@ -998,7 +998,7 @@
 		 * Filter whether to show the Screen Options submit button.
 		 *
 		 * @since 4.4.0
-		 * 
+		 *
 		 * @param bool      $show_button Whether to show Screen Options submit button.
 		 *                               Default false.
 		 * @param WP_Screen $this        Current WP_Screen instance.
@@ -1087,7 +1087,7 @@
 
 			$id = "$column-hide";
 			echo '<label>';
-			echo '<input class="hide-column-tog" name="' . $id . '" type="checkbox" value="' . $column . '"' . checked( ! in_array( $column, $hidden ), true, false ) . ' />';
+			echo '<input class="hide-column-tog" name="' . $id . '" type="checkbox" id="' . $id . '" value="' . $column . '"' . checked( ! in_array( $column, $hidden ), true, false ) . ' />';
 			echo "$title</label>\n";
 		}
 		?>
Index: src/wp-admin/js/postbox.js
===================================================================
--- src/wp-admin/js/postbox.js	(revision 35960)
+++ src/wp-admin/js/postbox.js	(working copy)
@@ -50,7 +50,7 @@
 			this.page = page;
 			this.init( page, args );
 
-			$handles.on( 'click.postboxes',  this.handle_click );
+			$handles.on( 'click.postboxes', this.handle_click );
 
 			$('.postbox .hndle a').click( function(e) {
 				e.stopPropagation();
@@ -157,9 +157,16 @@
 		},
 
 		save_state : function(page) {
-			var closed = $('.postbox').filter('.closed').map(function() { return this.id; }).get().join(','),
-				hidden = $('.postbox').filter(':hidden').map(function() { return this.id; }).get().join(',');
+			var closed, hidden;
 
+			// Return on the nav-menus.php screen, see #35112.
+			if ( 'nav-menus' === page ) {
+				return;
+			}
+
+			closed = $( '.postbox' ).filter( '.closed' ).map( function() { return this.id; } ).get().join( ',' );
+			hidden = $( '.postbox' ).filter( ':hidden' ).map( function() { return this.id; } ).get().join( ',' );
+
 			$.post(ajaxurl, {
 				action: 'closed-postboxes',
 				closed: closed,