diff --git a/src/huggingface_hub/serialization/_torch.py b/src/huggingface_hub/serialization/_torch.py
index ccb9c42b92..daa4154b45 100644
--- a/src/huggingface_hub/serialization/_torch.py
+++ b/src/huggingface_hub/serialization/_torch.py
@@ -706,6 +706,15 @@ def _get_unique_id(tensor: "torch.Tensor") -> Union[int, Tuple[Any, ...]]:
     if the input is a wrapper tensor subclass Tensor
     """
 
+    try:
+        from torch.distributed.tensor import DTensor
+
+        if isinstance(tensor, DTensor):
+            local_tensor = tensor.to_local()
+            return local_tensor.storage().data_ptr()
+    except ImportError:
+        pass
+
     try:
         # for torch 2.1 and above we can also handle tensor subclasses
         from torch.utils._python_dispatch import is_traceable_wrapper_subclass
@@ -753,6 +762,15 @@ def get_torch_storage_size(tensor: "torch.Tensor") -> int:
     """
     Taken from https://github.com/huggingface/safetensors/blob/08db34094e9e59e2f9218f2df133b7b4aaff5a99/bindings/python/py_src/safetensors/torch.py#L31C1-L41C59
     """
+    try:
+        from torch.distributed.tensor import DTensor
+
+        if isinstance(tensor, DTensor):
+            # this returns the size of the FULL tensor in bytes
+            return tensor.nbytes
+    except ImportError:
+        pass
+
     try:
         # for torch 2.1 and above we can also handle tensor subclasses
         from torch.utils._python_dispatch import is_traceable_wrapper_subclass
diff --git a/tests/test_serialization.py b/tests/test_serialization.py
index 9aef755a70..dad7065de6 100644
--- a/tests/test_serialization.py
+++ b/tests/test_serialization.py
@@ -46,6 +46,16 @@ def is_wrapper_tensor_subclass_available():
         return False
 
 
+def is_dtensor_available():
+    try:
+        from torch.distributed.device_mesh import init_device_mesh  # type: ignore[import] # noqa: F401
+        from torch.distributed.tensor import DTensor  # type: ignore[import] # noqa: F401
+
+        return True
+    except ImportError:
+        return False
+
+
 @pytest.fixture
 def dummy_state_dict() -> Dict[str, List[int]]:
     return {
@@ -250,6 +260,33 @@ def test_get_torch_storage_size():
     assert get_torch_storage_size(torch.tensor([1, 2, 3, 4, 5], dtype=torch.float16)) == 5 * 2
 
 
+@requires("torch")
+@pytest.mark.skipif(not is_dtensor_available(), reason="requires torch with dtensor available")
+def test_get_torch_storage_size_dtensor():
+    # testing distributed sharded tensors isn't very easy, would need to subprocess call torchrun, so this should be good enough
+    import torch
+    import torch.distributed as dist
+    from torch.distributed.device_mesh import init_device_mesh
+    from torch.distributed.tensor import DTensor, Replicate
+
+    if dist.is_available() and not dist.is_initialized():
+        dist.init_process_group(
+            backend="gloo",
+            store=dist.HashStore(),
+            rank=0,
+            world_size=1,
+        )
+
+    mesh = init_device_mesh("cpu", (1,))
+    local = torch.tensor([1, 2, 3, 4, 5], dtype=torch.float16)
+    dt = DTensor.from_local(local, mesh, [Replicate()])
+
+    assert get_torch_storage_size(dt) == 5 * 2
+
+    if dist.is_initialized():
+        dist.destroy_process_group()
+
+
 @requires("torch")
 @pytest.mark.skipif(not is_wrapper_tensor_subclass_available(), reason="requires torch 2.1 or higher")
 def test_get_torch_storage_size_wrapper_tensor_subclass():