diff --git a/test/typing/pass/creation_ops.py b/test/typing/pass/creation_ops.py
index c524d56f1971..f866d3a1628f 100644
--- a/test/typing/pass/creation_ops.py
+++ b/test/typing/pass/creation_ops.py
@@ -2,6 +2,10 @@
 # flake8: noqa
 import torch
 from torch.testing._internal.common_utils import TEST_NUMPY
+
+from typing_extensions import assert_type
+
+
 if TEST_NUMPY:
     import numpy as np
 
@@ -117,3 +121,7 @@
 inp = torch.tensor([-1.5, 0, 2.0])
 values = torch.tensor([0.5])
 torch.heaviside(inp, values)
+
+# Parameter
+p = torch.nn.Parameter(torch.empty(1))
+assert_type(p, torch.nn.Parameter)
diff --git a/tools/pyi/gen_pyi.py b/tools/pyi/gen_pyi.py
index f0b9044c6fe9..59498f41f3ef 100644
--- a/tools/pyi/gen_pyi.py
+++ b/tools/pyi/gen_pyi.py
@@ -1064,14 +1064,14 @@ def replace_special_case(hint: str) -> str:
             "new_tensor": [
                 f"def new_tensor(self, data: Any, {FACTORY_PARAMS}) -> Tensor: ..."
             ],
-            "__new__": ["def __new__(self, *args, **kwargs) -> Tensor: ..."],
+            "__new__": ["def __new__(cls, *args, **kwargs) -> Self: ..."],
             # new and __init__ have the same signatures differ only in return type
             # Adapted from legacy_tensor_ctor and legacy_tensor_new
             "new": [
-                f"def new(self, *args: Any, {DEVICE_PARAM}) -> Tensor: ...",
-                "def new(self, storage: Storage) -> Tensor: ...",
-                "def new(self, other: Tensor) -> Tensor: ...",
-                f"def new(self, size: _size, *, {DEVICE_PARAM}) -> Tensor: ...",
+                f"def new(cls, *args: Any, {DEVICE_PARAM}) -> Self: ...",
+                "def new(cls, storage: Storage) -> Self: ...",
+                "def new(cls, other: Tensor) -> Self: ...",
+                f"def new(cls, size: _size, *, {DEVICE_PARAM}) -> Self: ...",
             ],
             "__init__": [
                 f"def __init__(self, *args: Any, {DEVICE_PARAM}) -> None: ...",
diff --git a/torch/_C/__init__.pyi.in b/torch/_C/__init__.pyi.in
index 34e49e15d850..5e20dd31cd85 100644
--- a/torch/_C/__init__.pyi.in
+++ b/torch/_C/__init__.pyi.in
@@ -29,7 +29,7 @@ from typing import (
     overload,
     runtime_checkable,
 )
-from typing_extensions import ParamSpec
+from typing_extensions import ParamSpec, Self
 
 import numpy