diff --git a/.gitignore b/.gitignore
index e8b557d68ac39..627ccf4112ff5 100644
--- a/.gitignore
+++ b/.gitignore
@@ -41,6 +41,7 @@ doc/_build
 dist
 # Egg metadata
 *.egg-info
+.eggs
 # tox testing tool
 .tox
 # rope
diff --git a/doc/source/whatsnew/v0.17.0.txt b/doc/source/whatsnew/v0.17.0.txt
index cc044bc35a707..9c81787e19f22 100644
--- a/doc/source/whatsnew/v0.17.0.txt
+++ b/doc/source/whatsnew/v0.17.0.txt
@@ -65,6 +65,6 @@ Bug Fixes
 
 - Bug in ``Timestamp``'s' ``microsecond``, ``quarter``, ``dayofyear``, ``week`` and ``daysinmonth`` properties return ``np.int`` type, not built-in ``int``. (:issue:`10050`)
 - Bug in ``NaT`` raises ``AttributeError`` when accessing to ``daysinmonth``, ``dayofweek`` properties. (:issue:`10096`)
-
+- Bug in ``drop_duplicates`` dropping name(s) (:issue:`10115`)
 
 
diff --git a/pandas/core/index.py b/pandas/core/index.py
index 21f1fed2cd6da..5f762466ad2b4 100644
--- a/pandas/core/index.py
+++ b/pandas/core/index.py
@@ -2580,7 +2580,10 @@ def drop(self, labels, errors='raise'):
     @Appender(_shared_docs['drop_duplicates'] % _index_doc_kwargs)
     def drop_duplicates(self, take_last=False):
         result = super(Index, self).drop_duplicates(take_last=take_last)
-        return self._constructor(result)
+        if self.name is not None:
+            return self._constructor(result, name=self.name)
+        else:
+            return self._constructor(result, names=self.names)
 
     @Appender(_shared_docs['duplicated'] % _index_doc_kwargs)
     def duplicated(self, take_last=False):
diff --git a/pandas/tests/test_index.py b/pandas/tests/test_index.py
index 444aa2a0bab1e..b2632092ba038 100644
--- a/pandas/tests/test_index.py
+++ b/pandas/tests/test_index.py
@@ -4151,6 +4151,17 @@ def test_droplevel_multiple(self):
         expected = index[:2].droplevel(2).droplevel(0)
         self.assertTrue(dropped.equals(expected))
 
+    def test_drop_duplicates_names(self):
+        # GH 10115
+        for idx in [Index([3, 4, 5, 3]),
+                    Index([3, 4, 5, 3], name='Num'),
+                    MultiIndex.from_tuples([('A', 1), ('A', 2)]),
+                    MultiIndex.from_tuples([('A', 1), ('A', 2)], names=[None, None]),
+                    MultiIndex.from_tuples([('A', 1), ('A', 2)], names=[None, 'Num']),
+                    MultiIndex.from_tuples([('A', 1), ('A', 2)], names=['Upper', 'Num']),
+                   ]:
+            self.assertEqual(idx.drop_duplicates().names, idx.names)
+
     def test_insert(self):
         # key contained in all levels
         new_index = self.index.insert(0, ('bar', 'two'))