diff --git a/CHANGES b/CHANGES
index 7d5f801863a..37d8d6a633a 100644
--- a/CHANGES
+++ b/CHANGES
@@ -17,6 +17,8 @@ Bugs fixed
 ----------
 
 * #7428: py domain: a reference to class ``None`` emits a nitpicky warning
+* #7435: autodoc: ``autodoc_typehints='description'`` doesn't suppress typehints
+  in signature for classes/methods
 
 Testing
 --------
diff --git a/sphinx/ext/autodoc/__init__.py b/sphinx/ext/autodoc/__init__.py
index ad3e5f00add..f69e2b5f1f0 100644
--- a/sphinx/ext/autodoc/__init__.py
+++ b/sphinx/ext/autodoc/__init__.py
@@ -1174,7 +1174,7 @@ def import_object(self) -> Any:
         return ret
 
     def format_args(self, **kwargs: Any) -> str:
-        if self.env.config.autodoc_typehints == 'none':
+        if self.env.config.autodoc_typehints in ('none', 'description'):
             kwargs.setdefault('show_annotation', False)
 
         # for classes, the relevant signature is the __init__ method's
@@ -1430,7 +1430,7 @@ def import_object(self) -> Any:
         return ret
 
     def format_args(self, **kwargs: Any) -> str:
-        if self.env.config.autodoc_typehints == 'none':
+        if self.env.config.autodoc_typehints in ('none', 'description'):
             kwargs.setdefault('show_annotation', False)
 
         unwrapped = inspect.unwrap(self.object)