diff --git a/fitlog/fastlog/logger.py b/fitlog/fastlog/logger.py
index cfd17e2..290afef 100644
--- a/fitlog/fastlog/logger.py
+++ b/fitlog/fastlog/logger.py
@@ -746,7 +746,7 @@ def _parse_value(value: Union[int, str, float, dict], name: str, parent_name: st
     elif isinstance(value, np.integer):
         value = int(value)
     elif isinstance(value, np.floating):
-        value = float(value)
+        value = float(value) if not(math.isnan(value) and math.isinf(value)) else str(value)
     else:
         value = str(value)  # 直接专为str类型
         assert name is not None, f"When value is `{type(value)}`, you must pass a name."
@@ -796,7 +796,7 @@ def _check_dict_value(_dict: dict, prefix: str = ''):
         elif isinstance(value, (np.integer, int)):
             _dict[key] = int(value)
         elif isinstance(value, (np.floating, float)):
-            _dict[key] = float(value)
+            _dict[key] = float(value) if not (math.isnan(value) and math.isinf(value)) else str(value)    
         else:
             _dict[key] = str(value)