diff --git a/django/contrib/gis/tests/geo3d/tests.py b/django/contrib/gis/tests/geo3d/tests.py
index 917085013d..2c7f93859a 100644
--- a/django/contrib/gis/tests/geo3d/tests.py
+++ b/django/contrib/gis/tests/geo3d/tests.py
@@ -188,7 +188,8 @@ class Geo3DTest(TestCase):
         ref_union = GEOSGeometry(ref_ewkt)
         union = City3D.objects.aggregate(Union('point'))['point__union']
         self.assertTrue(union.hasz)
-        self.assertEqual(ref_union, union)
+        # Ordering of points in the resulting geometry may vary between implementations
+        self.assertSetEqual(set([p.ewkt for p in ref_union]), set([p.ewkt for p in union]))
 
     def test_extent(self):
         """
diff --git a/django/contrib/gis/tests/relatedapp/tests.py b/django/contrib/gis/tests/relatedapp/tests.py
index b478005c40..85bde167f5 100644
--- a/django/contrib/gis/tests/relatedapp/tests.py
+++ b/django/contrib/gis/tests/relatedapp/tests.py
@@ -96,26 +96,23 @@ class RelatedGeoModelTest(TestCase):
         p4 = Point(-96.801611, 32.782057)
         p5 = Point(-95.363151, 29.763374)
 
-        # Creating the reference union geometry depending on the spatial backend,
-        # as Oracle will have a different internal ordering of the component
-        # geometries than PostGIS.  The second union aggregate is for a union
+        # The second union aggregate is for a union
         # query that includes limiting information in the WHERE clause (in other
         # words a `.filter()` precedes the call to `.unionagg()`).
-        if oracle:
-            ref_u1 = MultiPoint(p4, p5, p3, p1, p2, srid=4326)
-            ref_u2 = MultiPoint(p3, p2, srid=4326)
-        else:
-            # Looks like PostGIS points by longitude value.
-            ref_u1 = MultiPoint(p1, p2, p4, p5, p3, srid=4326)
-            ref_u2 = MultiPoint(p2, p3, srid=4326)
+        ref_u1 = MultiPoint(p1, p2, p4, p5, p3, srid=4326)
+        ref_u2 = MultiPoint(p2, p3, srid=4326)
 
         u1 = City.objects.unionagg(field_name='location__point')
         u2 = City.objects.exclude(name__in=('Roswell', 'Houston', 'Dallas', 'Fort Worth')).unionagg(field_name='location__point')
         u3 = aggs['location__point__union']
+        self.assertEqual(type(u1), MultiPoint)
+        self.assertEqual(type(u3), MultiPoint)
 
-        self.assertEqual(ref_u1, u1)
-        self.assertEqual(ref_u2, u2)
-        self.assertEqual(ref_u1, u3)
+        # Ordering of points in the result of the union is not defined and
+        # implementation-dependent (DB backend, GEOS version)
+        self.assertSetEqual(set([p.ewkt for p in ref_u1]), set([p.ewkt for p in u1]))
+        self.assertSetEqual(set([p.ewkt for p in ref_u2]), set([p.ewkt for p in u2]))
+        self.assertSetEqual(set([p.ewkt for p in ref_u1]), set([p.ewkt for p in u3]))
 
     def test05_select_related_fk_to_subclass(self):
         "Testing that calling select_related on a query over a model with an FK to a model subclass works"
diff --git a/docs/ref/contrib/gis/install/geolibs.txt b/docs/ref/contrib/gis/install/geolibs.txt
index a529a497d2..5e68f52fe6 100644
--- a/docs/ref/contrib/gis/install/geolibs.txt
+++ b/docs/ref/contrib/gis/install/geolibs.txt
@@ -10,7 +10,7 @@ geospatial libraries:
 ========================  ====================================  ================================  ==========================
 Program                   Description                           Required                          Supported Versions
 ========================  ====================================  ================================  ==========================
-:ref:`GEOS <ref-geos>`    Geometry Engine Open Source           Yes                               3.3, 3.2, 3.1
+:ref:`GEOS <ref-geos>`    Geometry Engine Open Source           Yes                               3.4, 3.3, 3.2, 3.1
 `PROJ.4`_                 Cartographic Projections library      Yes (PostgreSQL and SQLite only)  4.8, 4.7, 4.6, 4.5, 4.4
 :ref:`GDAL <ref-gdal>`    Geospatial Data Abstraction Library   No (but, required for SQLite)     1.9, 1.8, 1.7, 1.6
 :ref:`GeoIP <ref-geoip>`  IP-based geolocation library          No                                1.4
@@ -23,6 +23,7 @@ Program                   Description                           Required
     GEOS 3.1.0 2009-03-11
     GEOS 3.2.0 2009-12-14
     GEOS 3.3.0 2011-05-30
+    GEOS 3.4.0 2013-08-11
     GDAL 1.6.0 2008-12-04
     GDAL 1.7.1 2010-02-08
     GDAL 1.8.0 2011-01-13