diff --git a/django/db/models/functions/datetime.py b/django/db/models/functions/datetime.py
index 7a582aa4043..665e0b931d8 100644
--- a/django/db/models/functions/datetime.py
+++ b/django/db/models/functions/datetime.py
@@ -73,6 +73,14 @@ class Extract(TimezoneMixin, Transform):
             raise ValueError(
                 "Cannot extract time component '%s' from DateField '%s'. " % (copy.lookup_name, field.name)
             )
+        if (
+            isinstance(field, DurationField) and
+            copy.lookup_name in ('year', 'iso_year', 'month', 'week', 'week_day', 'quarter')
+        ):
+            raise ValueError(
+                "Cannot extract component '%s' from DurationField '%s'."
+                % (copy.lookup_name, field.name)
+            )
         return copy
 
 
diff --git a/tests/db_functions/datetime/test_extract_trunc.py b/tests/db_functions/datetime/test_extract_trunc.py
index 2b7ee5befd7..f2f75ee620b 100644
--- a/tests/db_functions/datetime/test_extract_trunc.py
+++ b/tests/db_functions/datetime/test_extract_trunc.py
@@ -273,6 +273,13 @@ class DateFunctionTests(TestCase):
         with self.assertRaisesMessage(ValueError, msg):
             list(DTModel.objects.annotate(extracted=Extract('duration', 'second')))
 
+    def test_extract_duration_unsupported_lookups(self):
+        msg = "Cannot extract component '%s' from DurationField 'duration'."
+        for lookup in ('year', 'iso_year', 'month', 'week', 'week_day', 'quarter'):
+            with self.subTest(lookup):
+                with self.assertRaisesMessage(ValueError, msg % lookup):
+                    DTModel.objects.annotate(extracted=Extract('duration', lookup))
+
     def test_extract_year_func(self):
         start_datetime = datetime(2015, 6, 15, 14, 30, 50, 321)
         end_datetime = datetime(2016, 6, 15, 14, 10, 50, 123)