diff --git a/core/lib/Drupal/Core/EventSubscriber/DefaultExceptionHtmlSubscriber.php b/core/lib/Drupal/Core/EventSubscriber/DefaultExceptionHtmlSubscriber.php
index 0d876cc..38cb895 100644
--- a/core/lib/Drupal/Core/EventSubscriber/DefaultExceptionHtmlSubscriber.php
+++ b/core/lib/Drupal/Core/EventSubscriber/DefaultExceptionHtmlSubscriber.php
@@ -133,6 +133,14 @@ protected function makeSubrequest(GetResponseForExceptionEvent $event, $url, $st
       // would execute a subrequest with the 404 route's URL, then it'd be
       // generated for *that* URL, not the *original* URL.
       $sub_request = clone $request;
+
+      // The routing to the 404 page should be done as GET request because it is
+      // restricted to GET and POST requests only. Otherwise a DELETE request
+      // would for example trigger a method not allowed exception.
+      $request_context = clone ($this->accessUnawareRouter->getContext());
+      $request_context->setMethod('GET');
+      $this->accessUnawareRouter->setContext($request_context);
+
       $sub_request->attributes->add($this->accessUnawareRouter->match($url));
 
       // Add to query (GET) or request (POST) parameters: