diff --git a/mmengine/logging/logger.py b/mmengine/logging/logger.py
index e6cf9fe37d..ffef62c715 100644
--- a/mmengine/logging/logger.py
+++ b/mmengine/logging/logger.py
@@ -43,6 +43,28 @@ def filter(self, record: LogRecord) -> bool:
             self.seen.add(record.msg)
             return True
         return False
+    
+
+class FilterMasterRank(logging.Filter):
+    """Filter log messages from non-master processes in distributed training.
+
+    Args:
+        name (str): name of the filter. Defaults to 'mmengine'.
+    """
+
+    def __init__(self, name: str = 'mmengine') -> None:
+        super().__init__(name)
+
+    def filter(self, record: LogRecord) -> bool:
+        """Filter the log message of non-master processes.
+
+        Args:
+            record (LogRecord): The log record.
+
+        Returns:
+            bool: True if the log is from master process (rank 0).
+        """
+        return int(os.environ.get("LOCAL_RANK", 0)) == 0
 
 
 class MMFormatter(logging.Formatter):
@@ -221,6 +243,7 @@ def __init__(self,
         else:
             stream_handler.setLevel(logging.ERROR)
         stream_handler.addFilter(FilterDuplicateWarning(logger_name))
+        stream_handler.addFilter(FilterMasterRank(logger_name))
         self.handlers.append(stream_handler)
 
         if log_file is not None:
@@ -267,6 +290,7 @@ def __init__(self,
                     MMFormatter(color=False, datefmt='%Y/%m/%d %H:%M:%S'))
                 file_handler.setLevel(log_level)
                 file_handler.addFilter(FilterDuplicateWarning(logger_name))
+                file_handler.addFilter(FilterMasterRank(logger_name))
                 self.handlers.append(file_handler)
         self._log_file = log_file
 
diff --git a/mmengine/runner/checkpoint.py b/mmengine/runner/checkpoint.py
index 2bf5f50f7c..e07ceabbcd 100644
--- a/mmengine/runner/checkpoint.py
+++ b/mmengine/runner/checkpoint.py
@@ -19,7 +19,7 @@
 from mmengine.logging import print_log
 from mmengine.model import BaseTTAModel, is_model_wrapper
 from mmengine.utils import (apply_to, deprecated_function, digit_version,
-                            mkdir_or_exist)
+                            mkdir_or_exist,)
 from mmengine.utils.dl_utils import load_url
 
 # `MMENGINE_HOME` is the highest priority directory to save checkpoints
@@ -810,6 +810,6 @@ def find_latest_checkpoint(path: str) -> Optional[str]:
         with open(save_file) as f:
             last_saved = f.read().strip()
     else:
-        print_log('Did not find last_checkpoint to be resumed.')
+        print_log('Did not find last_checkpoint to be resumed.', logger='current')
         last_saved = None
     return last_saved
diff --git a/mmengine/runner/loops.py b/mmengine/runner/loops.py
index 5a678db7b9..d8ccc182ac 100644
--- a/mmengine/runner/loops.py
+++ b/mmengine/runner/loops.py
@@ -162,27 +162,39 @@ def __init__(self, dataloader: DataLoader) -> None:
     def __iter__(self):
         return self
 
-    def __next__(self) -> Sequence[dict]:
+    def skip_iter(self, iter: int) -> None:
+        for _ in range(iter):
+            self._next_data(skip_loading=True)
+
+    def __next__(self) -> Union[Sequence[dict], None]:
+        return self._next_data()
+
+    def _next_data(self, skip_loading=False) -> Union[Sequence[dict], None]:
+        data = None
         try:
-            data = next(self._iterator)
+            if skip_loading:
+                self._iterator._next_index()
+            else:
+                data = next(self._iterator)
         except StopIteration:
             print_log(
-                'Reach the end of the dataloader, it will be '
-                'restarted and continue to iterate. It is '
-                'recommended to use '
-                '`mmengine.dataset.InfiniteSampler` to enable the '
-                'dataloader to iterate infinitely.',
-                logger='current',
-                level=logging.WARNING)
+                "Reach the end of the dataloader, it will be "
+                "restarted and continue to iterate. It is "
+                "recommended to use "
+                "`mmengine.dataset.InfiniteSampler` to enable the "
+                "dataloader to iterate infinitely.",
+                logger="current",
+                level=logging.WARNING,
+            )
             self._epoch += 1
-            if hasattr(self._dataloader, 'sampler') and hasattr(
-                    self._dataloader.sampler, 'set_epoch'):
+            if hasattr(self._dataloader, "sampler") and hasattr(self._dataloader.sampler, "set_epoch"):
                 # In case the` _SingleProcessDataLoaderIter` has no sampler,
                 # or data loader uses `SequentialSampler` in Pytorch.
                 self._dataloader.sampler.set_epoch(self._epoch)
 
-            elif hasattr(self._dataloader, 'batch_sampler') and hasattr(
-                    self._dataloader.batch_sampler.sampler, 'set_epoch'):
+            elif hasattr(self._dataloader, "batch_sampler") and hasattr(
+                self._dataloader.batch_sampler.sampler, "set_epoch"
+            ):
                 # In case the` _SingleProcessDataLoaderIter` has no batch
                 # sampler. batch sampler in pytorch warps the sampler as its
                 # attributes.
@@ -280,8 +292,7 @@ def run(self) -> None:
                 'that has already been trained',
                 logger='current',
                 level=logging.WARNING)
-            for _ in range(self._iter):
-                next(self.dataloader_iterator)
+            self.dataloader_iterator.skip_iter(self._iter)
         while self._iter < self._max_iters and not self.stop_training:
             self.runner.model.train()
 
@@ -299,7 +310,7 @@ def run(self) -> None:
         self.runner.call_hook('after_train')
         return self.runner.model
 
-    def run_iter(self, data_batch: Sequence[dict]) -> None:
+    def run_iter(self, data_batch: Union[Sequence[dict], None]) -> None:
         """Iterate one mini-batch.
 
         Args: