diff --git a/django/contrib/gis/db/backends/base/features.py b/django/contrib/gis/db/backends/base/features.py
index f43724dcf7..ecefde493b 100644
--- a/django/contrib/gis/db/backends/base/features.py
+++ b/django/contrib/gis/db/backends/base/features.py
@@ -41,6 +41,10 @@ class BaseSpatialFeatures(object):
     def supports_contained_lookup(self):
         return 'contained' in self.connection.ops.gis_operators
 
+    @property
+    def supports_crosses_lookup(self):
+        return 'crosses' in self.connection.ops.gis_operators
+
     @property
     def supports_dwithin_lookup(self):
         return 'dwithin' in self.connection.ops.gis_operators
diff --git a/django/contrib/gis/db/backends/postgis/operations.py b/django/contrib/gis/db/backends/postgis/operations.py
index 44cab5d12a..2255897f2f 100644
--- a/django/contrib/gis/db/backends/postgis/operations.py
+++ b/django/contrib/gis/db/backends/postgis/operations.py
@@ -71,7 +71,7 @@ class PostGISOperations(BaseSpatialOperations, DatabaseOperations):
         'contains_properly': PostGISOperator(func='ST_ContainsProperly'),
         'coveredby': PostGISOperator(func='ST_CoveredBy', geography=True),
         'covers': PostGISOperator(func='ST_Covers', geography=True),
-        'crosses': PostGISOperator(func='ST_Crosses)'),
+        'crosses': PostGISOperator(func='ST_Crosses'),
         'disjoint': PostGISOperator(func='ST_Disjoint'),
         'equals': PostGISOperator(func='ST_Equals'),
         'intersects': PostGISOperator(func='ST_Intersects', geography=True),
diff --git a/django/contrib/gis/tests/geoapp/tests.py b/django/contrib/gis/tests/geoapp/tests.py
index 8d20ef843a..0dc4ce269d 100644
--- a/django/contrib/gis/tests/geoapp/tests.py
+++ b/django/contrib/gis/tests/geoapp/tests.py
@@ -286,6 +286,21 @@ class GeoLookupTest(TestCase):
             self.assertEqual(1, len(qs))
             self.assertEqual('Texas', qs[0].name)
 
+    @skipUnlessDBFeature("supports_crosses_lookup")
+    def test_crosses_lookup(self):
+        Track.objects.create(
+            name='Line1',
+            line=LineString([(-95, 29), (-60, 0)])
+        )
+        self.assertEqual(
+            Track.objects.filter(line__crosses=LineString([(-95, 0), (-60, 29)])).count(),
+            1
+        )
+        self.assertEqual(
+            Track.objects.filter(line__crosses=LineString([(-95, 30), (0, 30)])).count(),
+            0
+        )
+
     @skipUnlessDBFeature("supports_left_right_lookups")
     def test_left_right_lookups(self):
         "Testing the 'left' and 'right' lookup types."