diff --git a/internlm/core/naive_amp.py b/internlm/core/naive_amp.py
index 9bead52..62970d9 100644
--- a/internlm/core/naive_amp.py
+++ b/internlm/core/naive_amp.py
@@ -24,6 +24,14 @@ def module_has_fp32_attr(module: nn.Module):
     return hasattr(module, "is_fp32_module") and getattr(module, "is_fp32_module")
 
 
+def set_output_attr_to_module(module: nn.Module):
+    setattr(module, "is_output", True)
+
+
+def module_is_output(module: nn.Module):
+    return hasattr(module, "is_output") and getattr(module, "is_output")
+
+
 class NaiveAMPModel(nn.Module):
     """
     This is a wrapper class for a model that automatically casts the model, its inputs, and outputs into fp16.
@@ -189,3 +197,8 @@ class NaiveAMPModel(nn.Module):
                 sub_module.to(fp32_dtype)
                 sub_module.register_forward_pre_hook(partial(_pre_forward_hook_for_fp32))
                 sub_module.register_forward_hook(partial(_post_forward_hook_for_fp32))
+            if gpc.config.get("output_tf32", False) and module_is_output(sub_module):
+                sub_module.to(fp32_dtype)
+                torch.backends.cudnn.allow_tf32 = True
+                torch.backends.cuda.matmul.allow_tf32 = True
+                sub_module.register_forward_pre_hook(partial(_pre_forward_hook_for_fp32))
diff --git a/internlm/model/modeling_internlm.py b/internlm/model/modeling_internlm.py
index 204f71f..a47a5cd 100644
--- a/internlm/model/modeling_internlm.py
+++ b/internlm/model/modeling_internlm.py
@@ -13,6 +13,7 @@ from torch import nn
 from internlm.core.context import IS_SEQUENCE_PARALLEL, IS_TENSOR_PARALLEL, ParallelMode
 from internlm.core.context.parallel_context import global_context as gpc
 from internlm.core.context.random import _SEED_MANAGER
+from internlm.core.naive_amp import set_output_attr_to_module
 from internlm.initialize.initialize_tensor import normal_, scaled_init_method_normal
 from internlm.initialize.launch import GLOBAL_SEED
 from internlm.model.embedding import Embedding1D
@@ -368,6 +369,7 @@ class PackedFlashInternLm1D(nn.Module):
                 dtype=dtype,
                 weight_scale=embed_grad_scale,
             )
+            set_output_attr_to_module(self.head)
             for _, param in self.head.named_parameters():
                 normal_(std=0.0052)(param)
                 if gpc.get_world_size(ParallelMode.TENSOR) > 1: