diff --git a/core/modules/system/system.module b/core/modules/system/system.module
index 1371ea07217d6c17539e779093fa1c9e710f4366..c7b2937684da87cfbaf87fe1d9cfed737675f6fa 100644
--- a/core/modules/system/system.module
+++ b/core/modules/system/system.module
@@ -316,7 +316,20 @@ function system_theme_suggestions_html(array $variables) {
  */
 function system_theme_suggestions_page(array $variables) {
   $path_args = explode('/', trim(\Drupal::service('path.current')->getPath(), '/'));
-  return theme_get_suggestions($path_args, 'page');
+  $suggestions = theme_get_suggestions($path_args, 'page');
+
+  $http_error_suggestions = [
+    'system.401' => 'page__401',
+    'system.403' => 'page__403',
+    'system.404' => 'page__404',
+  ];
+  $route_name = \Drupal::routeMatch()->getRouteName();
+  if (isset($http_error_suggestions[$route_name])) {
+    $suggestions[] = 'page__4xx';
+    $suggestions[] = $http_error_suggestions[$route_name];
+  }
+
+  return $suggestions;
 }
 
 /**
diff --git a/core/tests/Drupal/KernelTests/Core/Theme/RegistryTest.php b/core/tests/Drupal/KernelTests/Core/Theme/RegistryTest.php
index ffbe543db7fd1409cb7370134a4533a97828b297..d0649ba110770f1e32cf18ac1819bdc8f2b79736 100644
--- a/core/tests/Drupal/KernelTests/Core/Theme/RegistryTest.php
+++ b/core/tests/Drupal/KernelTests/Core/Theme/RegistryTest.php
@@ -4,6 +4,7 @@
 
 use Drupal\Core\Path\CurrentPathStack;
 use Drupal\Core\Path\PathMatcherInterface;
+use Drupal\Core\Routing\RouteMatchInterface;
 use Drupal\Core\Theme\Registry;
 use Drupal\Core\Utility\ThemeRegistry;
 use Drupal\KernelTests\KernelTestBase;
@@ -192,6 +193,49 @@ public function testThemeSuggestions() {
     ], $suggestions, 'Found expected page node suggestions.');
   }
 
+  /**
+   * Data provider for test40xThemeSuggestions().
+   *
+   * @return array
+   *   An associative array of 40x theme suggestions.
+   */
+  public function provider40xThemeSuggestions() {
+    return [
+      ['system.401', 'page__401'],
+      ['system.403', 'page__403'],
+      ['system.404', 'page__404'],
+    ];
+  }
+
+  /**
+   * Tests page theme suggestions for 40x responses.
+   *
+   * @dataProvider provider40xThemeSuggestions
+   */
+  public function test40xThemeSuggestions($route, $suggestion) {
+    /** @var \Drupal\Core\Path\PathMatcherInterface $path_matcher */
+    $path_matcher = $this->prophesize(PathMatcherInterface::class);
+    $path_matcher->isFrontPage()->willReturn(FALSE);
+    \Drupal::getContainer()->set('path.matcher', $path_matcher->reveal());
+    /** @var \Drupal\Core\Path\CurrentPathStack $path_current */
+    $path_current = $this->prophesize(CurrentPathStack::class);
+    $path_current->getPath()->willReturn('/node/123');
+    \Drupal::getContainer()->set('path.current', $path_current->reveal());
+    /** @var \Drupal\Core\Routing\RouteMatchInterface $route_matcher */
+    $route_matcher = $this->prophesize(RouteMatchInterface::class);
+    $route_matcher->getRouteName()->willReturn($route);
+    \Drupal::getContainer()->set('current_route_match', $route_matcher->reveal());
+
+    $suggestions = \Drupal::moduleHandler()->invokeAll('theme_suggestions_page', [[]]);
+    $this->assertSame([
+      'page__node',
+      'page__node__%',
+      'page__node__123',
+      'page__4xx',
+      $suggestion,
+    ], $suggestions);
+  }
+
   /**
    * Tests theme-provided templates that are registered by modules.
    */