diff --git a/doc/source/whatsnew/v0.22.0.txt b/doc/source/whatsnew/v0.22.0.txt
index 841eec69d41ba..220e55a1f8ee9 100644
--- a/doc/source/whatsnew/v0.22.0.txt
+++ b/doc/source/whatsnew/v0.22.0.txt
@@ -189,7 +189,7 @@ Other API Changes
 - :func:`pandas.DataFrame.merge` no longer casts a ``float`` column to ``object`` when merging on ``int`` and ``float`` columns (:issue:`16572`)
 - The default NA value for :class:`UInt64Index` has changed from 0 to ``NaN``, which impacts methods that mask with NA, such as ``UInt64Index.where()`` (:issue:`18398`)
 - Refactored ``setup.py`` to use ``find_packages`` instead of explicitly listing out all subpackages (:issue:`18535`)
-- Rearranged the order of keyword arguments in :func:`read_excel()` to align with :func:`read_csv()` (:pr:`16672`)
+- Rearranged the order of keyword arguments in :func:`read_excel()` to align with :func:`read_csv()` (:issue:`16672`)
 - :func:`pandas.merge` now raises a ``ValueError`` when trying to merge on incompatible data types (:issue:`9780`)
 
 .. _whatsnew_0220.deprecations:
@@ -272,6 +272,8 @@ Indexing
 - Bug in :func:`IntervalIndex.symmetric_difference` where the symmetric difference with a non-``IntervalIndex`` did not raise (:issue:`18475`)
 - Bug in indexing a datetimelike ``Index`` that raised ``ValueError`` instead of ``IndexError`` (:issue:`18386`).
 - Bug in tz-aware :class:`DatetimeIndex` where addition/subtraction with a :class:`TimedeltaIndex` or array with ``dtype='timedelta64[ns]'`` was incorrect (:issue:`17558`)
+- :func:`Index.to_series` now accepts ``index`` and ``name`` kwargs (:issue:`18699`)
+- :func:`DatetimeIndex.to_series` now accepts ``index`` and ``name`` kwargs (:issue:`18699`)
 
 I/O
 ^^^
diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index 938fd7130faa5..d17767d662bb4 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -983,20 +983,32 @@ def _format_attrs(self):
             attrs.append(('length', len(self)))
         return attrs
 
-    def to_series(self, **kwargs):
+    def to_series(self, index=None, name=None):
         """
         Create a Series with both index and values equal to the index keys
         useful with map for returning an indexer based on an index
 
+        Parameters
+        ----------
+        index : Index, optional
+            index of resulting Series. If None, defaults to original index
+        name : string, optional
+            name of resulting Series. If None, defaults to name of original
+            index
+
         Returns
         -------
         Series : dtype will be based on the type of the Index values.
         """
 
         from pandas import Series
-        return Series(self._to_embed(),
-                      index=self._shallow_copy(),
-                      name=self.name)
+
+        if index is None:
+            index = self._shallow_copy()
+        if name is None:
+            name = self.name
+
+        return Series(self._to_embed(), index=index, name=name)
 
     def to_frame(self, index=True):
         """
diff --git a/pandas/core/indexes/datetimes.py b/pandas/core/indexes/datetimes.py
index 290c77dd7f040..b7c1b60f77650 100644
--- a/pandas/core/indexes/datetimes.py
+++ b/pandas/core/indexes/datetimes.py
@@ -927,7 +927,7 @@ def _get_time_micros(self):
             values = self._local_timestamps()
         return fields.get_time_micros(values)
 
-    def to_series(self, keep_tz=False):
+    def to_series(self, keep_tz=False, index=None, name=None):
         """
         Create a Series with both index and values equal to the index keys
         useful with map for returning an indexer based on an index
@@ -949,15 +949,24 @@ def to_series(self, keep_tz=False):
 
               Series will have a datetime64[ns] dtype. TZ aware
               objects will have the tz removed.
+        index : Index, optional
+            index of resulting Series. If None, defaults to original index
+        name : string, optional
+            name of resulting Series. If None, defaults to name of original
+            index
 
         Returns
         -------
         Series
         """
         from pandas import Series
-        return Series(self._to_embed(keep_tz),
-                      index=self._shallow_copy(),
-                      name=self.name)
+
+        if index is None:
+            index = self._shallow_copy()
+        if name is None:
+            name = self.name
+
+        return Series(self._to_embed(keep_tz), index=index, name=name)
 
     def _to_embed(self, keep_tz=False, dtype=None):
         """
diff --git a/pandas/tests/indexes/common.py b/pandas/tests/indexes/common.py
index c1ee18526cc01..a4b72f29aa65f 100644
--- a/pandas/tests/indexes/common.py
+++ b/pandas/tests/indexes/common.py
@@ -50,6 +50,25 @@ def test_to_series(self):
         assert s.index is not idx
         assert s.name == idx.name
 
+    def test_to_series_with_arguments(self):
+        # GH18699
+
+        # index kwarg
+        idx = self.create_index()
+        s = idx.to_series(index=idx)
+
+        assert s.values is not idx.values
+        assert s.index is idx
+        assert s.name == idx.name
+
+        # name kwarg
+        idx = self.create_index()
+        s = idx.to_series(name='__test')
+
+        assert s.values is not idx.values
+        assert s.index is not idx
+        assert s.name != idx.name
+
     def test_to_frame(self):
         # see gh-15230
         idx = self.create_index()