diff --git a/doc/source/whatsnew/v0.16.1.txt b/doc/source/whatsnew/v0.16.1.txt
index bf01d3b21f3fa..576103b5411b5 100644
--- a/doc/source/whatsnew/v0.16.1.txt
+++ b/doc/source/whatsnew/v0.16.1.txt
@@ -31,3 +31,5 @@ Performance Improvements
 
 Bug Fixes
 ~~~~~~~~~
+
+- Bug in ``Series.quantile`` on empty Series of type ``Datetime`` or ``Timedelta`` (:issue:`9675`)
diff --git a/pandas/core/series.py b/pandas/core/series.py
index 7e3b21be13525..68f3a6032402f 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -2095,7 +2095,7 @@ def _maybe_box(self, func, dropna=False):
             boxer = com.i8_boxer(self)
 
             if len(values) == 0:
-                return boxer(iNaT)
+                return boxer(tslib.iNaT)
 
             values = values.view('i8')
             result = func(values)
diff --git a/pandas/tests/test_series.py b/pandas/tests/test_series.py
index ae2ed4eaca2f4..9b5e36974553b 100644
--- a/pandas/tests/test_series.py
+++ b/pandas/tests/test_series.py
@@ -6837,6 +6837,11 @@ def test_repeat(self):
     def test_unique_data_ownership(self):
         # it works! #1807
         Series(Series(["a", "c", "b"]).unique()).sort()
+    
+    def test_datetime_timedelta_quantiles(self):
+        # covers #9694
+        self.assertTrue(pd.isnull(Series([],dtype='M8[ns]').quantile(.5)))
+        self.assertTrue(pd.isnull(Series([],dtype='m8[ns]').quantile(.5)))
 
 if __name__ == '__main__':
     nose.runmodule(argv=[__file__, '-vvs', '-x', '--pdb', '--pdb-failure'],