diff --git a/python/paddle/metric/metrics.py b/python/paddle/metric/metrics.py
index 1f19f202db50b..2920417d66b4e 100644
--- a/python/paddle/metric/metrics.py
+++ b/python/paddle/metric/metrics.py
@@ -11,8 +11,10 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
+from __future__ import annotations
 
 import abc
+from typing import TYPE_CHECKING, Any, Literal, Sequence
 
 import numpy as np
 
@@ -24,6 +26,12 @@
 from ..base.layer_helper import LayerHelper
 from ..framework import in_dynamic_mode
 
+if TYPE_CHECKING:
+    import numpy.typing as npt
+
+    from paddle import Tensor
+
+
 __all__ = []
 
 
@@ -114,11 +122,11 @@ class Metric(metaclass=abc.ABCMeta):
             ...     return accs
     """
 
-    def __init__(self):
+    def __init__(self) -> None:
         pass
 
     @abc.abstractmethod
-    def reset(self):
+    def reset(self) -> None:
         """
         Reset states and result
         """
@@ -127,7 +135,7 @@ def reset(self):
         )
 
     @abc.abstractmethod
-    def update(self, *args):
+    def update(self, *args: Any) -> None:
         """
         Update states for metric
 
@@ -143,7 +151,7 @@ def update(self, *args):
         )
 
     @abc.abstractmethod
-    def accumulate(self):
+    def accumulate(self) -> Any:
         """
         Accumulates statistics, computes and returns the metric value
         """
@@ -152,7 +160,7 @@ def accumulate(self):
         )
 
     @abc.abstractmethod
-    def name(self):
+    def name(self) -> str:
         """
         Returns metric name
         """
@@ -160,7 +168,7 @@ def name(self):
             f"function 'name' not implemented in {self.__class__.__name__}."
         )
 
-    def compute(self, *args):
+    def compute(self, *args: Any) -> Any:
         """
         This API is advanced usage to accelerate metric calculating, calculations
         from outputs of model to the states which should be updated by Metric can
@@ -189,7 +197,7 @@ class Accuracy(Metric):
     Args:
         topk (list[int]|tuple[int]): Number of top elements to look at
             for computing accuracy. Default is (1,).
-        name (str, optional): String name of the metric instance. Default
+        name (str|None, optional): String name of the metric instance. Default
             is `acc`.
 
     Examples:
@@ -216,6 +224,7 @@ class Accuracy(Metric):
         .. code-block:: python
             :name: code-model-api-example
 
+            >>> # doctest: +TIMEOUT(80)
             >>> import paddle
             >>> from paddle.static import InputSpec
             >>> import paddle.vision.transforms as T
@@ -238,14 +247,23 @@ class Accuracy(Metric):
 
     """
 
-    def __init__(self, topk=(1,), name=None, *args, **kwargs):
+    topk: Sequence[int]
+    maxk: int
+
+    def __init__(
+        self,
+        topk: Sequence[int] = (1,),
+        name: str | None = None,
+        *args: Any,
+        **kwargs: Any,
+    ) -> None:
         super().__init__(*args, **kwargs)
         self.topk = topk
         self.maxk = max(topk)
         self._init_name(name)
         self.reset()
 
-    def compute(self, pred, label, *args):
+    def compute(self, pred: Tensor, label: Tensor, *args: Any) -> Tensor:
         """
         Compute the top-k (maximum value in `topk`) indices.
 
@@ -276,7 +294,7 @@ def compute(self, pred, label, *args):
         correct = pred == label.astype(pred.dtype)
         return paddle.cast(correct, dtype='float32')
 
-    def update(self, correct, *args):
+    def update(self, correct: Tensor, *args: Any) -> Tensor:
         """
         Update the metrics states (correct count and total count), in order to
         calculate cumulative accuracy of all instances. This function also
@@ -300,14 +318,14 @@ def update(self, correct, *args):
         accs = accs[0] if len(self.topk) == 1 else accs
         return accs
 
-    def reset(self):
+    def reset(self) -> None:
         """
         Resets all of the metric state.
         """
         self.total = [0.0] * len(self.topk)
         self.count = [0] * len(self.topk)
 
-    def accumulate(self):
+    def accumulate(self) -> list[float]:
         """
         Computes and returns the accumulated metric.
         """
@@ -318,14 +336,14 @@ def accumulate(self):
         res = res[0] if len(self.topk) == 1 else res
         return res
 
-    def _init_name(self, name):
+    def _init_name(self, name: str | None) -> None:
         name = name or 'acc'
         if self.maxk != 1:
             self._name = [f'{name}_top{k}' for k in self.topk]
         else:
             self._name = [name]
 
-    def name(self):
+    def name(self) -> list[str]:
         """
         Return name of metric instance.
         """
@@ -397,13 +415,22 @@ class Precision(Metric):
             >>> model.fit(data, batch_size=16)
     """
 
-    def __init__(self, name='precision', *args, **kwargs):
+    tp: int
+    fp: int
+
+    def __init__(
+        self, name: str = 'precision', *args: Any, **kwargs: Any
+    ) -> None:
         super().__init__(*args, **kwargs)
         self.tp = 0  # true positive
         self.fp = 0  # false positive
         self._name = name
 
-    def update(self, preds, labels):
+    def update(
+        self,
+        preds: npt.NDArray[np.float32 | np.float64] | Tensor,
+        labels: npt.NDArray[np.int32 | np.int64] | Tensor,
+    ) -> None:
         """
         Update the states based on the current mini-batch prediction results.
 
@@ -437,14 +464,14 @@ def update(self, preds, labels):
                 else:
                     self.fp += 1
 
-    def reset(self):
+    def reset(self) -> None:
         """
         Resets all of the metric state.
         """
         self.tp = 0
         self.fp = 0
 
-    def accumulate(self):
+    def accumulate(self) -> float:
         """
         Calculate the final precision.
 
@@ -454,7 +481,7 @@ def accumulate(self):
         ap = self.tp + self.fp
         return float(self.tp) / ap if ap != 0 else 0.0
 
-    def name(self):
+    def name(self) -> str:
         """
         Returns metric name
         """
@@ -529,13 +556,20 @@ class Recall(Metric):
             >>> model.fit(data, batch_size=16)
     """
 
-    def __init__(self, name='recall', *args, **kwargs):
+    tp: int
+    fn: int
+
+    def __init__(self, name: str = 'recall', *args: Any, **kwargs: Any) -> None:
         super().__init__(*args, **kwargs)
         self.tp = 0  # true positive
         self.fn = 0  # false negative
         self._name = name
 
-    def update(self, preds, labels):
+    def update(
+        self,
+        preds: npt.NDArray[np.float32 | np.float64] | Tensor,
+        labels: npt.NDArray[np.int32 | np.int64] | Tensor,
+    ) -> None:
         """
         Update the states based on the current mini-batch prediction results.
 
@@ -569,7 +603,7 @@ def update(self, preds, labels):
                 else:
                     self.fn += 1
 
-    def accumulate(self):
+    def accumulate(self) -> float:
         """
         Calculate the final recall.
 
@@ -579,14 +613,14 @@ def accumulate(self):
         recall = self.tp + self.fn
         return float(self.tp) / recall if recall != 0 else 0.0
 
-    def reset(self):
+    def reset(self) -> None:
         """
         Resets all of the metric state.
         """
         self.tp = 0
         self.fn = 0
 
-    def name(self):
+    def name(self) -> str:
         """
         Returns metric name
         """
@@ -612,7 +646,6 @@ class Auc(Metric):
             'ROC' or 'PR' for the Precision-Recall-curve. Default is 'ROC'.
         num_thresholds (int): The number of thresholds to use when
             discretizing the roc curve. Default is 4095.
-            'ROC' or 'PR' for the Precision-Recall-curve. Default is 'ROC'.
         name (str, optional): String name of the metric instance. Default
             is `auc`.
 
@@ -675,8 +708,13 @@ class Auc(Metric):
     """
 
     def __init__(
-        self, curve='ROC', num_thresholds=4095, name='auc', *args, **kwargs
-    ):
+        self,
+        curve: Literal['ROC', 'PR'] = 'ROC',
+        num_thresholds: int = 4095,
+        name: str = 'auc',
+        *args: Any,
+        **kwargs: Any,
+    ) -> None:
         super().__init__(*args, **kwargs)
         self._curve = curve
         self._num_thresholds = num_thresholds
@@ -686,7 +724,11 @@ def __init__(
         self._stat_neg = np.zeros(_num_pred_buckets)
         self._name = name
 
-    def update(self, preds, labels):
+    def update(
+        self,
+        preds: npt.NDArray[np.float32 | np.float64] | Tensor,
+        labels: npt.NDArray[np.int32 | np.int64] | Tensor,
+    ) -> None:
         """
         Update the auc curve with the given predictions and labels.
 
@@ -718,10 +760,10 @@ def update(self, preds, labels):
                 self._stat_neg[bin_idx] += 1.0
 
     @staticmethod
-    def trapezoid_area(x1, x2, y1, y2):
+    def trapezoid_area(x1: float, x2: float, y1: float, y2: float) -> float:
         return abs(x1 - x2) * (y1 + y2) / 2.0
 
-    def accumulate(self):
+    def accumulate(self) -> float:
         """
         Return the area (a float score) under auc curve
 
@@ -747,7 +789,7 @@ def accumulate(self):
             auc / tot_pos / tot_neg if tot_pos > 0.0 and tot_neg > 0.0 else 0.0
         )
 
-    def reset(self):
+    def reset(self) -> None:
         """
         Reset states and result
         """
@@ -755,14 +797,21 @@ def reset(self):
         self._stat_pos = np.zeros(_num_pred_buckets)
         self._stat_neg = np.zeros(_num_pred_buckets)
 
-    def name(self):
+    def name(self) -> str:
         """
         Returns metric name
         """
         return self._name
 
 
-def accuracy(input, label, k=1, correct=None, total=None, name=None):
+def accuracy(
+    input: Tensor,
+    label: Tensor,
+    k: int = 1,
+    correct: Tensor | None = None,
+    total: Tensor | None = None,
+    name: str | None = None,
+) -> Tensor:
     """
     accuracy layer.
     Refer to the https://en.wikipedia.org/wiki/Precision_and_recall
@@ -778,7 +827,7 @@ def accuracy(input, label, k=1, correct=None, total=None, name=None):
         k(int, optional): The top k predictions for each class will be checked. Data type is int64 or int32.
         correct(Tensor, optional): The correct predictions count. A Tensor with type int64 or int32.
         total(Tensor, optional): The total entries count. A tensor with type int64 or int32.
-        name(str, optional): The default value is None. Normally there is no need for
+        name(str|None, optional): The default value is None. Normally there is no need for
             user to set this property. For more information, please refer to :ref:`api_guide_Name`
 
     Returns: