diff --git a/pandas/core/generic.py b/pandas/core/generic.py
index 969dcde9d792e..fa35060c8aff8 100644
--- a/pandas/core/generic.py
+++ b/pandas/core/generic.py
@@ -10139,7 +10139,9 @@ def tz_convert(
 
         Parameters
         ----------
-        tz : str or tzinfo object
+        tz : str or tzinfo object or None
+            Target time zone. Passing ``None`` will convert to
+            UTC and remove the timezone information.
         axis : the axis to convert
         level : int, str, default None
             If axis is a MultiIndex, convert a specific level. Otherwise
@@ -10156,6 +10158,24 @@ def tz_convert(
         ------
         TypeError
             If the axis is tz-naive.
+
+        Examples
+        --------
+        Change to another time zone:
+
+        >>> s = pd.Series([1],
+        ...     index=pd.DatetimeIndex(['2018-09-15 01:30:00+02:00']))
+        >>> s.tz_convert('Asia/Shanghai')
+        2018-09-15 07:30:00+08:00    1
+        dtype: int64
+
+        Pass None to convert to UTC and get a tz-naive index:
+
+        >>> s = pd.Series([1],
+        ...     index=pd.DatetimeIndex(['2018-09-15 01:30:00+02:00']))
+        >>> s.tz_convert(None)
+        2018-09-14 23:30:00    1
+        dtype: int64
         """
         axis = self._get_axis_number(axis)
         ax = self._get_axis(axis)
@@ -10206,7 +10226,9 @@ def tz_localize(
 
         Parameters
         ----------
-        tz : str or tzinfo
+        tz : str or tzinfo or None
+            Time zone to localize. Passing ``None`` will remove the
+            time zone information and preserve local time.
         axis : the axis to localize
         level : int, str, default None
             If axis ia a MultiIndex, localize a specific level. Otherwise
@@ -10262,6 +10284,14 @@ def tz_localize(
         2018-09-15 01:30:00+02:00    1
         dtype: int64
 
+        Pass None to convert to tz-naive index and preserve local time:
+
+        >>> s = pd.Series([1],
+        ...     index=pd.DatetimeIndex(['2018-09-15 01:30:00+02:00']))
+        >>> s.tz_localize(None)
+        2018-09-15 01:30:00    1
+        dtype: int64
+
         Be careful with DST changes. When there is sequential data, pandas
         can infer the DST time: