diff --git a/numpy/__init__.pyi b/numpy/__init__.pyi
index ce879e208e49..bcbe95accee6 100644
--- a/numpy/__init__.pyi
+++ b/numpy/__init__.pyi
@@ -2577,11 +2577,15 @@ class ndarray(_ArrayOrScalarCommon, Generic[_ShapeT_co, _DTypeT_co]):
     # `tuple[int]` to `tuple[Never]` or `tuple[int, int]` to `tuple[Never, Never]`.
     # This way the bug only occurs for 9-D arrays, which are probably not very common.
     @overload
-    def __iter__(self: ndarray[tuple[Never, Never, Never, Never, Never, Never, Never, Never, Never]], /) -> Iterator[Any]: ...
+    def __iter__(
+        self: ndarray[tuple[Never, Never, Never, Never, Never, Never, Never, Never, Never], Any], /
+    ) -> Iterator[Any]: ...
     @overload  # == 1-d & dtype[T \ object_]
     def __iter__(self: ndarray[tuple[int], dtype[_NonObjectScalarT]], /) -> Iterator[_NonObjectScalarT]: ...
+    @overload  # == 1-d & StringDType
+    def __iter__(self: ndarray[tuple[int], dtypes.StringDType], /) -> Iterator[str]: ...
     @overload  # >= 2-d
-    def __iter__(self: ndarray[tuple[int, int, *tuple[int, ...]], dtype[_ScalarT]], /) -> Iterator[NDArray[_ScalarT]]: ...
+    def __iter__(self: ndarray[tuple[int, int, *tuple[int, ...]], _DTypeT], /) -> Iterator[ndarray[_AnyShape, _DTypeT]]: ...
     @overload  # ?-d
     def __iter__(self, /) -> Iterator[Any]: ...