diff --git a/doc/source/timedeltas.rst b/doc/source/timedeltas.rst
index f7aa879fa7216..b65a24a29bb16 100644
--- a/doc/source/timedeltas.rst
+++ b/doc/source/timedeltas.rst
@@ -310,6 +310,18 @@ similarly to the ``Series``. These are the *displayed* values of the ``Timedelta
    td.dt.components
    td.dt.components.seconds
 
+.. _timedeltas.isoformat:
+
+You can convert a ``Timedelta`` to an ISO 8601 Duration string with the
+``.isoformat`` method
+
+.. ipython:: python
+    pd.Timedelta(days=6, minutes=50, seconds=3,
+                 milliseconds=10, microseconds=10,
+                 nanoseconds=12).isoformat()
+
+.. _ISO 8601 duration: https://en.wikipedia.org/wiki/ISO_8601#Durations
+
 .. _timedeltas.index:
 
 TimedeltaIndex
diff --git a/doc/source/whatsnew/v0.20.0.txt b/doc/source/whatsnew/v0.20.0.txt
index 4ce7e6d2cd3b8..bc6f8cbc18f0d 100644
--- a/doc/source/whatsnew/v0.20.0.txt
+++ b/doc/source/whatsnew/v0.20.0.txt
@@ -132,10 +132,13 @@ Other enhancements
 - The ``skiprows`` argument in ``pd.read_csv`` now accepts a callable function as a value  (:issue:`10882`)
 - ``pd.DataFrame.plot`` now prints a title above each subplot if ``suplots=True`` and ``title`` is a list of strings (:issue:`14753`)
 - ``pd.Series.interpolate`` now supports timedelta as an index type with ``method='time'`` (:issue:`6424`)
+- ``Timedelta.isoformat`` method added for formatting Timedeltas as an `ISO 8601 duration`_. See the :ref:`Timedelta docs <timedeltas.isoformat>` (:issue:`15136`)
 - ``pandas.io.json.json_normalize()`` gained the option ``errors='ignore'|'raise'``; the default is ``errors='raise'`` which is backward compatible. (:issue:`14583`)
 
 - ``.select_dtypes()`` now allows the string 'datetimetz' to generically select datetimes with tz (:issue:`14910`)
 
+.. _ISO 8601 duration: https://en.wikipedia.org/wiki/ISO_8601#Durations
+
 
 .. _whatsnew_0200.api_breaking:
 
diff --git a/pandas/tseries/tests/test_timedeltas.py b/pandas/tseries/tests/test_timedeltas.py
index 48ef9a4db7e28..7bc47f84690b4 100644
--- a/pandas/tseries/tests/test_timedeltas.py
+++ b/pandas/tseries/tests/test_timedeltas.py
@@ -1347,6 +1347,45 @@ def test_components(self):
         self.assertFalse(result.iloc[0].isnull().all())
         self.assertTrue(result.iloc[1].isnull().all())
 
+    def test_isoformat(self):
+        td = Timedelta(days=6, minutes=50, seconds=3,
+                       milliseconds=10, microseconds=10, nanoseconds=12)
+        expected = 'P6DT0H50M3.010010012S'
+        result = td.isoformat()
+        self.assertEqual(result, expected)
+
+        td = Timedelta(days=4, hours=12, minutes=30, seconds=5)
+        result = td.isoformat()
+        expected = 'P4DT12H30M5S'
+        self.assertEqual(result, expected)
+
+        td = Timedelta(nanoseconds=123)
+        result = td.isoformat()
+        expected = 'P0DT0H0M0.000000123S'
+        self.assertEqual(result, expected)
+
+        # trim nano
+        td = Timedelta(microseconds=10)
+        result = td.isoformat()
+        expected = 'P0DT0H0M0.00001S'
+        self.assertEqual(result, expected)
+
+        # trim micro
+        td = Timedelta(milliseconds=1)
+        result = td.isoformat()
+        expected = 'P0DT0H0M0.001S'
+        self.assertEqual(result, expected)
+
+        # NaT
+        result = Timedelta('NaT').isoformat()
+        expected = 'NaT'
+        self.assertEqual(result, expected)
+
+        # don't strip every 0
+        result = Timedelta(minutes=1).isoformat()
+        expected = 'P0DT0H1M0S'
+        self.assertEqual(result, expected)
+
     def test_constructor(self):
         expected = TimedeltaIndex(['1 days', '1 days 00:00:05', '2 days',
                                    '2 days 00:00:02', '0 days 00:00:03'])
diff --git a/pandas/tslib.pyx b/pandas/tslib.pyx
index cde7c0dc10740..a5b5e278ade7b 100644
--- a/pandas/tslib.pyx
+++ b/pandas/tslib.pyx
@@ -2966,6 +2966,54 @@ class Timedelta(_Timedelta):
         """
         return 1e-9 *self.value
 
+    def isoformat(self):
+        """
+        Format Timedelta as ISO 8601 Duration like
+        `P[n]Y[n]M[n]DT[n]H[n]M[n]S`, where the `[n]`s are replaced by the
+        values. See https://en.wikipedia.org/wiki/ISO_8601#Durations
+
+        Returns
+        -------
+        formatted : str
+
+        Notes
+        -----
+        The longest component is days, whose value may be larger than
+        365.
+        Every component is always included, even if its value is 0.
+        Pandas uses nanosecond precision, so up to 9 decimal places may
+        be included in the seconds component.
+        Trailing 0's are removed from the seconds component after the decimal.
+        We do not 0 pad components, so it's `...T5H...`, not `...T05H...`
+
+        Examples
+        --------
+        >>> td = pd.Timedelta(days=6, minutes=50, seconds=3,
+        ...                   milliseconds=10, microseconds=10, nanoseconds=12)
+        >>> td.isoformat()
+        'P6DT0H50M3.010010012S'
+        >>> pd.Timedelta(hours=1, seconds=10).isoformat()
+        'P0DT0H0M10S'
+        >>> pd.Timedelta(hours=1, seconds=10).isoformat()
+        'P0DT0H0M10S'
+        >>> pd.Timedelta(days=500.5).isoformat()
+        'P500DT12H0MS'
+
+        See Also
+        --------
+        Timestamp.isoformat
+        """
+        components = self.components
+        seconds = '{}.{:0>3}{:0>3}{:0>3}'.format(components.seconds,
+                                                 components.milliseconds,
+                                                 components.microseconds,
+                                                 components.nanoseconds)
+        # Trim unnecessary 0s, 1.000000000 -> 1
+        seconds = seconds.rstrip('0').rstrip('.')
+        tpl = 'P{td.days}DT{td.hours}H{td.minutes}M{seconds}S'.format(
+            td=components, seconds=seconds)
+        return tpl
+
     def __setstate__(self, state):
         (value) = state
         self.value = value