diff --git a/features/main/exception_to_status.feature b/features/main/exception_to_status.feature
index d95a6112d4e..a182ea848a8 100644
--- a/features/main/exception_to_status.feature
+++ b/features/main/exception_to_status.feature
@@ -38,3 +38,10 @@ Feature: Using exception_to_status config
     And I send a "DELETE" request to "/error_with_overriden_status/1"
     Then the response status code should be 403
     And the JSON node "status" should be equal to 403
+
+  @!mongodb
+  Scenario: Get HTTP Exception headers
+    When I add "Accept" header equal to "application/ld+json"
+    And I send a "GET" request to "/issue5924"
+    Then the response status code should be 429
+    Then the header "retry-after" should be equal to 32
diff --git a/src/State/Processor/RespondProcessor.php b/src/State/Processor/RespondProcessor.php
index 99e68360e03..b58f97239c0 100644
--- a/src/State/Processor/RespondProcessor.php
+++ b/src/State/Processor/RespondProcessor.php
@@ -13,6 +13,7 @@
 
 namespace ApiPlatform\State\Processor;
 
+use ApiPlatform\Metadata\Exception\HttpExceptionInterface;
 use ApiPlatform\Metadata\HttpOperation;
 use ApiPlatform\Metadata\IriConverterInterface;
 use ApiPlatform\Metadata\Operation;
@@ -24,6 +25,7 @@
 use ApiPlatform\Metadata\Util\CloneTrait;
 use ApiPlatform\State\ProcessorInterface;
 use Symfony\Component\HttpFoundation\Response;
+use Symfony\Component\HttpKernel\Exception\HttpExceptionInterface as SymfonyHttpExceptionInterface;
 
 /**
  * Serializes data.
@@ -64,6 +66,11 @@ public function process(mixed $data, Operation $operation, array $uriVariables =
             'X-Frame-Options' => 'deny',
         ];
 
+        $exception = $request->attributes->get('exception');
+        if (($exception instanceof HttpExceptionInterface || $exception instanceof SymfonyHttpExceptionInterface) && $exceptionHeaders = $exception->getHeaders()) {
+            $headers = array_merge($headers, $exceptionHeaders);
+        }
+
         $status = $operation->getStatus();
 
         if ($sunset = $operation->getSunset()) {
diff --git a/tests/Fixtures/TestBundle/ApiResource/Issue5924/TooManyRequests.php b/tests/Fixtures/TestBundle/ApiResource/Issue5924/TooManyRequests.php
new file mode 100644
index 00000000000..757e282da32
--- /dev/null
+++ b/tests/Fixtures/TestBundle/ApiResource/Issue5924/TooManyRequests.php
@@ -0,0 +1,27 @@
+<?php
+
+/*
+ * This file is part of the API Platform project.
+ *
+ * (c) Kévin Dunglas <dunglas@gmail.com>
+ *
+ * For the full copyright and license information, please view the LICENSE
+ * file that was distributed with this source code.
+ */
+
+declare(strict_types=1);
+
+namespace ApiPlatform\Tests\Fixtures\TestBundle\ApiResource\Issue5924;
+
+use ApiPlatform\Metadata\Get;
+use ApiPlatform\Metadata\Operation;
+use Symfony\Component\HttpKernel\Exception\TooManyRequestsHttpException;
+
+#[Get(uriTemplate: 'issue5924{._format}', read: true, provider: [TooManyRequests::class, 'provide'])]
+class TooManyRequests
+{
+    public static function provide(Operation $operation, array $uriVariables = [], array $context = []): void
+    {
+        throw new TooManyRequestsHttpException(32);
+    }
+}
diff --git a/tests/State/RespondProcessorTest.php b/tests/State/RespondProcessorTest.php
index 449215ab155..935d4109640 100644
--- a/tests/State/RespondProcessorTest.php
+++ b/tests/State/RespondProcessorTest.php
@@ -25,6 +25,7 @@
 use Prophecy\PhpUnit\ProphecyTrait;
 use Symfony\Component\HttpFoundation\Request;
 use Symfony\Component\HttpFoundation\Response;
+use Symfony\Component\HttpKernel\Exception\TooManyRequestsHttpException;
 
 class RespondProcessorTest extends TestCase
 {
@@ -97,4 +98,19 @@ public function testRedirectToOperation(): void
         $this->assertSame(200, $response->getStatusCode());
         $this->assertNull($response->headers->get('Location'));
     }
+
+    public function testAddsExceptionHeaders(): void
+    {
+        $operation = new Get();
+
+        /** @var ProcessorInterface<Response> $respondProcessor */
+        $respondProcessor = new RespondProcessor();
+        $req = new Request();
+        $req->attributes->set('exception', new TooManyRequestsHttpException(32));
+        $response = $respondProcessor->process('content', new Get(), context: [
+            'request' => $req,
+        ]);
+
+        $this->assertSame('32', $response->headers->get('retry-after'));
+    }
 }