diff --git a/doc/source/whatsnew/v2.1.0.rst b/doc/source/whatsnew/v2.1.0.rst
index cfce12c2930d7..328d6a5092b36 100644
--- a/doc/source/whatsnew/v2.1.0.rst
+++ b/doc/source/whatsnew/v2.1.0.rst
@@ -417,6 +417,10 @@ Styler
 -
 -
 
+Metadata
+^^^^^^^^
+- Fixed metadata propagation in :meth:`DataFrame.std` (:issue:`28283`)
+
 Other
 ^^^^^
 - Bug in :func:`assert_almost_equal` now throwing assertion error for two unequal sets (:issue:`51727`)
diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index 838a34adeaf82..1c96f96a30fec 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -11069,7 +11069,8 @@ def std(
         numeric_only: bool = False,
         **kwargs,
     ):
-        return super().std(axis, skipna, ddof, numeric_only, **kwargs)
+        result = cast(Series, super().std(axis, skipna, ddof, numeric_only, **kwargs))
+        return result.__finalize__(self, method="std")
 
     @doc(make_doc("skew", ndim=2))
     def skew(
diff --git a/pandas/tests/generic/test_finalize.py b/pandas/tests/generic/test_finalize.py
index a76b6b94d719d..7403ba271663d 100644
--- a/pandas/tests/generic/test_finalize.py
+++ b/pandas/tests/generic/test_finalize.py
@@ -418,7 +418,6 @@
     ),
     pytest.param(
         (pd.DataFrame, frame_data, operator.methodcaller("std")),
-        marks=not_implemented_mark,
     ),
     pytest.param(
         (pd.DataFrame, frame_data, operator.methodcaller("mean")),