diff --git a/components/http_kernel/introduction.rst b/components/http_kernel/introduction.rst
index 3fee78f30b7..a260aa5a9ad 100644
--- a/components/http_kernel/introduction.rst
+++ b/components/http_kernel/introduction.rst
@@ -167,6 +167,11 @@ return a ``Response`` directly, or to add information to the ``Request``
 (e.g. setting the locale or setting some other information on the ``Request``
 attributes).
 
+.. note::
+
+    When setting a response for the ``kernel.request`` event, the propagation
+    is stopped. This means listeners with lower priority won't be executed.
+
 .. sidebar:: ``kernel.request`` in the Symfony Framework
 
     The most important listener to ``kernel.request`` in the Symfony Framework
@@ -391,6 +396,11 @@ At this stage, if no listener sets a response on the event, then an exception
 is thrown: either the controller *or* one of the view listeners must always
 return a ``Response``.
 
+.. note::
+
+    When setting a response for the ``kernel.view`` event, the propagation
+    is stopped. This means listeners with lower priority won't be executed.
+
 .. sidebar:: ``kernel.view`` in the Symfony Framework
 
     There is no default listener inside the Symfony Framework for the ``kernel.view``
@@ -522,6 +532,11 @@ comes with an :class:`Symfony\\Component\\HttpKernel\\EventListener\\ExceptionLi
 which if you choose to use, will do this and more by default (see the sidebar
 below for more details).
 
+.. note::
+
+    When setting a response for the ``kernel.exception`` event, the propagation
+    is stopped. This means listeners with lower priority won't be executed.
+
 .. sidebar:: ``kernel.exception`` in the Symfony Framework
 
     There are two main listeners to ``kernel.exception`` when using the
diff --git a/cookbook/service_container/event_listener.rst b/cookbook/service_container/event_listener.rst
index a78acded921..ecba442b697 100644
--- a/cookbook/service_container/event_listener.rst
+++ b/cookbook/service_container/event_listener.rst
@@ -57,6 +57,12 @@ event is just one of the core kernel events::
     the ``kernel.exception`` event, it is :class:`Symfony\\Component\\HttpKernel\\Event\\GetResponseForExceptionEvent`.
     To see what type of object each event listener receives, see :class:`Symfony\\Component\\HttpKernel\\KernelEvents`.
 
+.. note::
+
+    When setting a response for the ``kernel.request``, ``kernel.view`` and
+    ``kernel.exception`` events, the propagation is stopped, so the lower
+    priority listeners on that event don't get called.
+
 Now that the class is created, you just need to register it as a service and
 notify Symfony that it is a "listener" on the ``kernel.exception`` event by
 using a special "tag":