diff --git a/geopandas/io/file.py b/geopandas/io/file.py
index 8c78dd3..5fdee3b 100644
--- a/geopandas/io/file.py
+++ b/geopandas/io/file.py
@@ -140,6 +140,9 @@ def infer_schema(df):
     def convert_type(column, in_type):
         if in_type == object:
             return 'str'
+        if in_type.name.startswith('datetime64'):
+            # numpy datetime type regardless of frequency
+            return 'datetime'
         out_type = type(np.zeros(1, in_type).item()).__name__
         if out_type == 'long':
             out_type = 'int'
diff --git a/geopandas/io/tests/test_file.py b/geopandas/io/tests/test_file.py
index 508e937..c49d1f3 100644
--- a/geopandas/io/tests/test_file.py
+++ b/geopandas/io/tests/test_file.py
@@ -1,8 +1,10 @@
 from __future__ import absolute_import
 
 from collections import OrderedDict
+import datetime
 from distutils.version import LooseVersion
 import os
+import sys
 
 import numpy as np
 
@@ -97,6 +99,22 @@ def test_to_file_bool(tmpdir, driver, ext):
         assert_geodataframe_equal(result, df, check_column_type=False)
 
 
+@pytest.mark.skipif(
+        (sys.version_info < (3, 0)) and sys.platform.startswith('win'),
+        reason="GPKG tests failing on AppVeyor for Python 2.7")
+def test_to_file_datetime(tmpdir):
+    """Test writing a data file with the datetime column type"""
+    tempfilename = os.path.join(str(tmpdir), 'test_datetime.gpkg')
+    point = Point(0, 0)
+    now = datetime.datetime.now()
+    df = GeoDataFrame(
+        {'a': [1, 2], 'b': [now, now]},
+        geometry=[point, point], crs={})
+    df.to_file(tempfilename, driver='GPKG')
+    df_read = read_file(tempfilename)
+    assert_geoseries_equal(df.geometry, df_read.geometry)
+
+
 @pytest.mark.parametrize(
     'ext, driver', [('shp', 'ESRI Shapefile'), ('geojson', 'GeoJSON')])
 def test_to_file_with_point_z(tmpdir, ext, driver):