diff --git a/src/transformers/quantizers/quantizer_bnb_4bit.py b/src/transformers/quantizers/quantizer_bnb_4bit.py
index 98d57e22524902..dcba696ddf83b4 100644
--- a/src/transformers/quantizers/quantizer_bnb_4bit.py
+++ b/src/transformers/quantizers/quantizer_bnb_4bit.py
@@ -17,6 +17,7 @@
 
 from packaging import version
 
+from ..utils import is_torch_npu_available
 from .base import HfQuantizer
 from .quantizers_utils import get_module_from_name
 
@@ -172,10 +173,13 @@ def create_quantized_param(
         old_value = getattr(module, tensor_name)
 
         if tensor_name == "bias":
+            # `torch.Tensor.to(<int num>)` is not supported by `torch_npu` (see this [issue](https://github.com/Ascend/pytorch/issues/16)).
+            if isinstance(target_device, int) and is_torch_npu_available():
+                device = f"npu:{target_device}"
             if param_value is None:
-                new_value = old_value.to(target_device)
+                new_value = old_value.to(device)
             else:
-                new_value = param_value.to(target_device)
+                new_value = param_value.to(device)
 
             new_value = torch.nn.Parameter(new_value, requires_grad=old_value.requires_grad)
             module._parameters[tensor_name] = new_value
@@ -264,6 +268,8 @@ def update_device_map(self, device_map):
         if device_map is None:
             if torch.cuda.is_available():
                 device_map = {"": torch.cuda.current_device()}
+            elif is_torch_npu_available():
+                device_map = {"": f"npu:{torch.npu.current_device()}"}
             elif is_torch_xpu_available():
                 device_map = {"": f"xpu:{torch.xpu.current_device()}"}
             else:
diff --git a/src/transformers/quantizers/quantizer_bnb_8bit.py b/src/transformers/quantizers/quantizer_bnb_8bit.py
index 093d612b914cef..bc967e821253b1 100644
--- a/src/transformers/quantizers/quantizer_bnb_8bit.py
+++ b/src/transformers/quantizers/quantizer_bnb_8bit.py
@@ -16,6 +16,7 @@
 
 from packaging import version
 
+from ..utils import is_torch_npu_available
 from .base import HfQuantizer
 
 
@@ -135,6 +136,8 @@ def update_device_map(self, device_map):
         if device_map is None:
             if torch.cuda.is_available():
                 device_map = {"": torch.cuda.current_device()}
+            elif is_torch_npu_available():
+                device_map = {"": f"npu:{torch.npu.current_device()}"}
             elif is_torch_xpu_available():
                 device_map = {"": f"xpu:{torch.xpu.current_device()}"}
             else: