diff --git a/tensorflow/python/keras/metrics.py b/tensorflow/python/keras/metrics.py
index 1bf08197e2dc9975c81cd2faff5a5f3d845b1b5b..f26b797db6425f487d7b189b9ef76893bb6d3a1b 100644
--- a/tensorflow/python/keras/metrics.py
+++ b/tensorflow/python/keras/metrics.py
@@ -315,6 +315,31 @@ class Metric(base_layer.Layer):
 
   ### End: For use by subclasses ###
 
+  @property
+  def trainable_weights(self):
+    # Overridden from Layer class to track submetric weights.
+    if self.trainable:
+      trainable_weights = self._trainable_weights
+      for m in self._metrics:
+        trainable_weights += m.trainable_weights
+      return self._dedup_weights(trainable_weights)
+    else:
+      return []
+
+  @property
+  def non_trainable_weights(self):
+    # Overridden from Layer class to track submetric weights.
+    if self.trainable:
+      non_trainable_weights = self._non_trainable_weights
+      for m in self._metrics:
+        non_trainable_weights += m.non_trainable_weights
+    else:
+      non_trainable_weights = (
+          self._non_trainable_weights + self._trainable_weights)
+      for m in self._metrics:
+        non_trainable_weights += m.weights
+    return self._dedup_weights(non_trainable_weights)
+
   @property
   def _trackable_saved_model_saver(self):
     return metric_serialization.MetricSavedModelSaver(self)