diff --git a/pandas/core/arrays/datetimes.py b/pandas/core/arrays/datetimes.py
index b1c19ab7c0476..9c9faa0a343db 100644
--- a/pandas/core/arrays/datetimes.py
+++ b/pandas/core/arrays/datetimes.py
@@ -1229,7 +1229,8 @@ def to_perioddelta(self, freq) -> TimedeltaArray:
 
     def month_name(self, locale=None):
         """
-        Return the month names of the DateTimeIndex with specified locale.
+        Return the month names of the :class:`~pandas.Series` or
+        :class:`~pandas.DatetimeIndex` with specified locale.
 
         Parameters
         ----------
@@ -1239,11 +1240,23 @@ def month_name(self, locale=None):
 
         Returns
         -------
-        Index
-            Index of month names.
+        Series or Index
+            Series or Index of month names.
 
         Examples
         --------
+        >>> s = pd.Series(pd.date_range(start='2018-01', freq='M', periods=3))
+        >>> s
+        0   2018-01-31
+        1   2018-02-28
+        2   2018-03-31
+        dtype: datetime64[ns]
+        >>> s.dt.month_name()
+        0     January
+        1    February
+        2       March
+        dtype: object
+
         >>> idx = pd.date_range(start='2018-01', freq='M', periods=3)
         >>> idx
         DatetimeIndex(['2018-01-31', '2018-02-28', '2018-03-31'],
@@ -1259,7 +1272,8 @@ def month_name(self, locale=None):
 
     def day_name(self, locale=None):
         """
-        Return the day names of the DateTimeIndex with specified locale.
+        Return the day names of the :class:`~pandas.Series` or
+        :class:`~pandas.DatetimeIndex` with specified locale.
 
         Parameters
         ----------
@@ -1269,11 +1283,23 @@ def day_name(self, locale=None):
 
         Returns
         -------
-        Index
-            Index of day names.
+        Series or Index
+            Series or Index of day names.
 
         Examples
         --------
+        >>> s = pd.Series(pd.date_range(start='2018-01-01', freq='D', periods=3))
+        >>> s
+        0   2018-01-01
+        1   2018-01-02
+        2   2018-01-03
+        dtype: datetime64[ns]
+        >>> s.dt.day_name()
+        0       Monday
+        1      Tuesday
+        2    Wednesday
+        dtype: object
+
         >>> idx = pd.date_range(start='2018-01-01', freq='D', periods=3)
         >>> idx
         DatetimeIndex(['2018-01-01', '2018-01-02', '2018-01-03'],