diff --git a/docs/api-guide/views.md b/docs/api-guide/views.md
index 14e13d41a..9e34191f3 100644
--- a/docs/api-guide/views.md
+++ b/docs/api-guide/views.md
@@ -219,9 +219,9 @@ You may pass `None` in order to exclude the view from schema generation.
 
 # Async Views
 
-When using Django 4.1 and above, REST framework allows you to work with async class based and function based views.
+When using Django 4.1 and above, REST framework allows you to work with async class and function based views.
 
-For class based view, the view needs the handler methods such as `.get()`, `.post()`, `put()`, `patch()` and `.delete()` to be all async otherwise Django will raise an exception. For function based view, the view needs to be async.
+For class based views, all handler methods must be async, otherwise Django will raise an exception. For function based views, the function itself must be async.
 
 For example:
 
diff --git a/rest_framework/decorators.py b/rest_framework/decorators.py
index 06d42ec09..9c526959b 100644
--- a/rest_framework/decorators.py
+++ b/rest_framework/decorators.py
@@ -55,10 +55,11 @@ def api_view(http_method_names=None):
 
         view_is_async = asyncio.iscoroutinefunction(func)
 
-        for method in http_method_names:
-            if view_is_async:
+        if view_is_async:
+            for method in http_method_names:
                 setattr(WrappedAPIView, method.lower(), async_handler)
-            else:
+        else:
+            for method in http_method_names:
                 setattr(WrappedAPIView, method.lower(), sync_handler)
 
         WrappedAPIView.__name__ = func.__name__