diff --git a/django/contrib/gis/geos/geometry.py b/django/contrib/gis/geos/geometry.py
index 7467a9c879..1a13cdbbc8 100644
--- a/django/contrib/gis/geos/geometry.py
+++ b/django/contrib/gis/geos/geometry.py
@@ -259,7 +259,7 @@ class GEOSGeometry(GEOSBase, ListMixin):
 
     def normalize(self):
         "Converts this Geometry to normal form (or canonical form)."
-        return capi.geos_normalize(self.ptr)
+        capi.geos_normalize(self.ptr)
 
     # #### Unary predicates ####
     @property
diff --git a/docs/ref/contrib/gis/geos.txt b/docs/ref/contrib/gis/geos.txt
index 55bd5a3744..165f3c0754 100644
--- a/docs/ref/contrib/gis/geos.txt
+++ b/docs/ref/contrib/gis/geos.txt
@@ -652,6 +652,17 @@ Other Properties & Methods
             positive integer even if it was called with a
             :class:`~django.contrib.gis.gdal.CoordTransform` object.
 
+.. method:: GEOSGeometry.normalize()
+
+    Converts this geometry to canonical form::
+
+        >>> g = MultiPoint(Point(0, 0), Point(2, 2), Point(1, 1))
+        >>> print(g)
+        MULTIPOINT (0 0, 2 2, 1 1)
+        >>> g.normalize()
+        >>> print(g)
+        MULTIPOINT (2 2, 1 1, 0 0)
+
 ``Point``
 ---------
 
diff --git a/tests/gis_tests/geos_tests/test_geos.py b/tests/gis_tests/geos_tests/test_geos.py
index 8a82c16170..544bd3f48f 100644
--- a/tests/gis_tests/geos_tests/test_geos.py
+++ b/tests/gis_tests/geos_tests/test_geos.py
@@ -1331,6 +1331,11 @@ class GEOSTest(SimpleTestCase, TestDataMixin):
             ),
         )
 
+    def test_normalize(self):
+        g = MultiPoint(Point(0, 0), Point(2, 2), Point(1, 1))
+        self.assertIsNone(g.normalize())
+        self.assertTrue(g.equals_exact(MultiPoint(Point(2, 2), Point(1, 1), Point(0, 0))))
+
     @ignore_warnings(category=RemovedInDjango20Warning)
     def test_deprecated_srid_getters_setters(self):
         p = Point(1, 2, srid=123)