diff --git a/internlm/core/context/parallel_context.py b/internlm/core/context/parallel_context.py
index 53416761..7e357234 100644
--- a/internlm/core/context/parallel_context.py
+++ b/internlm/core/context/parallel_context.py
@@ -275,15 +275,12 @@ def is_first_rank(self, parallel_mode: ParallelMode):
 
     def is_rank_for_log(self):
         """Returns a boolean value indicating whether the current device should print log."""
-        # is_log_rank = (
-        #     self.is_first_rank(ParallelMode.DATA)
-        #     and self.is_first_rank(ParallelMode.TENSOR)
-        #     and self.is_last_rank(ParallelMode.PIPELINE)
-        # )
         is_log_rank = (
-            self.is_first_rank(ParallelMode.WEIGHT)
+            self.is_first_rank(ParallelMode.TENSOR)
+            and self.is_first_rank(ParallelMode.WEIGHT)
             and self.is_first_rank(ParallelMode.DATA)
             and self.is_first_rank(ParallelMode.WEIGHT_DATA)
+            and self.is_last_rank(ParallelMode.PIPELINE)
         )
         return is_log_rank
 
diff --git a/internlm/model/overlap_handler.py b/internlm/model/overlap_handler.py
index c81b09d0..65473a6b 100644
--- a/internlm/model/overlap_handler.py
+++ b/internlm/model/overlap_handler.py
@@ -287,7 +287,7 @@ def _pre_forward_hook_for_module(module: nn.Module, inputs: Any):  # pylint: dis
 
         def _pre_forward_hook_for_block(block: nn.Module, inputs: Any):  # pylint: disable=W0613
             fstp_modules = self.index_to_fstp_modules[self.num_blocks - 1]
-            if module in fstp_modules:
+            for module in fstp_modules:
                 self._all_gather_module_weight(module)
                 _wait_handle(module)
 
diff --git a/internlm/train/utils.py b/internlm/train/utils.py
index 54e75ccb..7ef0cb81 100644
--- a/internlm/train/utils.py
+++ b/internlm/train/utils.py
@@ -139,7 +139,8 @@ def split_params_into_different_groups_for_optimizer_with_new_partition_strategy
         pgroup["optimizer_mode"] = ParallelMode.ZERO1
 
     # param groups may contain empty groups, such as fp32
-    param_groups.extend(new_groups.values())
+    if len(new_groups["embed_head"]["params"]) > 0:
+        param_groups.extend(new_groups.values())
 
     # print(f"ht debug params_groups after split default len:{len(param_groups[0]['params'])}", flush=True)
     # print(f"ht debug params_groups after split embed_head len:{len(param_groups[1]['params'])}", flush=True)