diff --git a/pandas/core/series.py b/pandas/core/series.py
index 512c24cc02f60..d5a1cda2397c1 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -2579,6 +2579,11 @@ def round(self, decimals: int = 0, *args, **kwargs) -> Series:
         dtype: float64
         """
         nv.validate_round(args, kwargs)
+
+        # Handle empty Series gracefully
+        if len(self) == 0:
+            return self.copy()
+
         if self.dtype == "object":
             raise TypeError("Expected numeric dtype, got object instead.")
         new_mgr = self._mgr.round(decimals=decimals)
diff --git a/pandas/tests/frame/methods/test_round.py b/pandas/tests/frame/methods/test_round.py
index 5f2566fefca76..1ea0f7b30642a 100644
--- a/pandas/tests/frame/methods/test_round.py
+++ b/pandas/tests/frame/methods/test_round.py
@@ -227,3 +227,20 @@ def test_round_empty_not_input(self):
         result = df.round()
         tm.assert_frame_equal(df, result)
         assert df is not result
+
+    def test_round_empty_series(self):
+        """Test that round works on empty Series."""
+        # Empty Series with default object dtype
+        result = Series().round(4)
+        expected = Series()
+        tm.assert_series_equal(result, expected)
+
+        # Empty Series with float dtype
+        result = Series(dtype="float64").round(4)
+        expected = Series(dtype="float64")
+        tm.assert_series_equal(result, expected)
+
+        # Empty Series with int dtype
+        result = Series(dtype="int64").round(4)
+        expected = Series(dtype="int64")
+        tm.assert_series_equal(result, expected)