diff --git a/auto_round/data_type/mxfp.py b/auto_round/data_type/mxfp.py
index f5ad2aa08..6c6290445 100644
--- a/auto_round/data_type/mxfp.py
+++ b/auto_round/data_type/mxfp.py
@@ -15,7 +15,13 @@
 import torch
 
 from auto_round.data_type.register import QUANT_FUNC_WITH_DTYPE, register_dtype
-from auto_round.data_type.utils import floor_ste, reshape_pad_tensor_by_group_size, revert_tensor_by_pad, round_ste
+from auto_round.data_type.utils import (
+    ceil_ste,
+    floor_ste,
+    reshape_pad_tensor_by_group_size,
+    revert_tensor_by_pad,
+    round_ste,
+)
 
 MXFP_FORMAT_CACHE = {
     # data type: ebits, mbits, emax, max_norm, min_norm
@@ -95,17 +101,18 @@ def quant_mx(tensor, bits=4, group_size=-1, v=0, max_scale=1.0,
         KeyError: If `data_type` is not found in `MXFP_FORMAT_CACHE`.
     """
     tensor, orig_shape, pad_len = reshape_pad_tensor_by_group_size(tensor, group_size)
+    data_type = data_type if data_type in MXFP_FORMAT_CACHE else "mx_fp" + str(bits)
     ebits, mbits, emax, max_norm, min_norm = MXFP_FORMAT_CACHE[data_type]
     orig_dtype = tensor.dtype
     tensor = tensor.to(torch.float32)
-    shared_exp, _ = torch.max(torch.abs(tensor), dim=-1, keepdim=True)
+    max_val, _ = torch.max(torch.abs(tensor), dim=-1, keepdim=True)
     if isinstance(max_scale, torch.Tensor):
-        shared_exp *= (max_scale.unsqueeze(dim=-1)).to(tensor.device)
+        max_val *= (max_scale.unsqueeze(dim=-1)).to(tensor.device)
     else:
-        shared_exp *= max_scale
+        max_val *= max_scale
 
     # shared_exp = torch.log2(shared_exp + FP32_MIN_NORMAL * (shared_exp == 0).type(shared_exp.dtype))
-    shared_exp = torch.where(shared_exp == 0, torch.ones_like(shared_exp), torch.log2(shared_exp))
+    shared_exp = torch.where(max_val == 0, torch.ones_like(max_val), torch.log2(max_val))
     shared_exp = floor_ste(shared_exp)
     scale_emax = 2 ** (8 - 1) - 1
     shared_exp = (shared_exp - emax).clamp(min=-scale_emax, max=scale_emax)
@@ -120,8 +127,61 @@ def quant_mx(tensor, bits=4, group_size=-1, v=0, max_scale=1.0,
     return tensor.to(orig_dtype), shared_exp.to(orig_dtype), None
 
 
+@torch.compile()
+def quant_mx_rceil(tensor, bits=4, group_size=-1, v=0, max_scale=1.0,
+                   mantissa_rounding="even", data_type="mx_fp", **kwargs):
+    """Quantize the given tensor using the specified parameters.
+
+    This function performs quantization on the `tensor` tensor according to the
+    given bit width (`bits`), data type (`data_type`), and additional parameters.
+    The quantization process involves scaling the tensor values and adjusting
+    the exponent and mantissa to fit within the specified format.
+
+    Args:
+        tensor (torch.Tensor): The tensor containing the tensors to be quantized.
+        bits (int): The bit width to be used for quantization.
+        group_size (int): The group size of sharing scale and exponent.
+        data_type (str): The data type for quantization (e.g., 'mx_fp4').
+        v (float): A value used for adjusting the tensors.
+        max_scale (float or torch.Tensor): The maximum scale to be applied to the tensors.
+        mantissa_rounding (str): rounding method for mantissa,currently support even,nearest,floor
+
+    Returns:
+        tuple: A tuple containing the quantized tensors, shared exponent, and None (reserved for future use).
+
+    Raises:
+        KeyError: If `data_type` is not found in `MXFP_FORMAT_CACHE`.
+    """
+    tensor, orig_shape, pad_len = reshape_pad_tensor_by_group_size(tensor, group_size)
+    data_type = data_type if data_type in MXFP_FORMAT_CACHE else "mx_fp" + str(bits)
+    ebits, mbits, emax, max_norm, min_norm = MXFP_FORMAT_CACHE[data_type]
+    orig_dtype = tensor.dtype
+    tensor = tensor.to(torch.float32)
+    max_val, _ = torch.max(torch.abs(tensor), dim=-1, keepdim=True)
+    if isinstance(max_scale, torch.Tensor):
+        max_val *= (max_scale.unsqueeze(dim=-1)).to(tensor.device)
+    else:
+        max_val *= max_scale
+
+    # shared_exp = torch.log2(shared_exp + FP32_MIN_NORMAL * (shared_exp == 0).type(shared_exp.dtype))
+    shared_exp = torch.where(max_val == 0, torch.ones_like(max_val), ceil_ste(torch.log2(max_val / max_norm)))
+    scale_emax = 2 ** (8 - 1) - 1
+    shared_exp = shared_exp.clamp(min=-scale_emax, max=scale_emax)
+
+    scale = torch.pow(2, shared_exp)
+    tensor = tensor / scale + v
+    tensor = torch.clamp(tensor, min=-max_norm, max=max_norm)
+    tensor = quant_element(tensor, ebits, mbits, max_norm, mantissa_rounding)
+
+    tensor = tensor * scale
+    tensor = revert_tensor_by_pad(tensor, orig_shape=orig_shape, pad_len=pad_len)
+    return tensor.to(orig_dtype), shared_exp.to(orig_dtype), None
+
+
 for key in MXFP_FORMAT_CACHE.keys():
     QUANT_FUNC_WITH_DTYPE[key] = quant_mx
+    QUANT_FUNC_WITH_DTYPE[key + "_rceil"] = quant_mx_rceil
+QUANT_FUNC_WITH_DTYPE["mx_fp_rceil"] = quant_mx_rceil
 
 if __name__ == "__main__":
     data = torch.tensor([0.0, 0.25, 0.4, 0.75, 1.25, 1.4, 1.75, 2.5, 2.9, 3.5, 5.0, 5.1])
@@ -131,4 +191,4 @@ def quant_mx(tensor, bits=4, group_size=-1, v=0, max_scale=1.0,
 
     data_neg = data * -1
     data2 = quant_element(data_neg, 2, 3, 6.0)
-    assert (torch.sum(torch.abs(data2 - gt * -1)) < 1e-6)
\ No newline at end of file
+    assert (torch.sum(torch.abs(data2 - gt * -1)) < 1e-6)
diff --git a/auto_round/data_type/utils.py b/auto_round/data_type/utils.py
index 748417038..ea8c56ffa 100644
--- a/auto_round/data_type/utils.py
+++ b/auto_round/data_type/utils.py
@@ -163,6 +163,17 @@ def floor_ste(x: torch.Tensor):
     return (x.floor() - x).detach() + x
 
 
+def ceil_ste(x: torch.Tensor):
+    """Straight-Through Estimator for ceil.
+
+    Args:
+        x: torch.Tensor
+
+    Returns:
+        torch.Tensor
+    """
+    return (x.ceil() - x).detach() + x
+
 
 def float8_e4m3fn_ste(x: torch.Tensor):
     """Straight-Through Estimator (STE) for float8.