diff --git a/CHANGES b/CHANGES
index 0ac1502c53..e0923b433c 100644
--- a/CHANGES
+++ b/CHANGES
@@ -22,6 +22,8 @@ Bugs fixed
 * #7418: std domain: duplication warning for glossary terms is case insensitive
 * #7438: C++, fix merging overloaded functions in parallel builds.
 * #7422: autodoc: fails with ValueError when using autodoc_mock_imports
+* #7435: autodoc: ``autodoc_typehints='description'`` doesn't suppress typehints
+  in signature for classes/methods
 * #7423: crashed when giving a non-string object to logger
 * #7479: html theme: Do not include xmlns attribute with HTML 5 doctype
 * #7426: html theme: Escape some links in HTML templates
diff --git a/sphinx/ext/autodoc/__init__.py b/sphinx/ext/autodoc/__init__.py
index ad3e5f00ad..f69e2b5f1f 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)