diff --git a/django/db/models/functions/datetime.py b/django/db/models/functions/datetime.py
index 6828980733..5075bd3d83 100644
--- a/django/db/models/functions/datetime.py
+++ b/django/db/models/functions/datetime.py
@@ -46,6 +46,8 @@ class Extract(TimezoneMixin, Transform):
         if isinstance(lhs_output_field, DateTimeField):
             tzname = self.get_tzname()
             sql = connection.ops.datetime_extract_sql(self.lookup_name, sql, tzname)
+        elif self.tzinfo is not None:
+            raise ValueError('tzinfo can only be used with DateTimeField.')
         elif isinstance(lhs_output_field, DateField):
             sql = connection.ops.date_extract_sql(self.lookup_name, sql)
         elif isinstance(lhs_output_field, TimeField):
diff --git a/tests/db_functions/datetime/test_extract_trunc.py b/tests/db_functions/datetime/test_extract_trunc.py
index f898ba5253..a842eb9418 100644
--- a/tests/db_functions/datetime/test_extract_trunc.py
+++ b/tests/db_functions/datetime/test_extract_trunc.py
@@ -1111,6 +1111,18 @@ class DateFunctionWithTimeZoneTests(DateFunctionTests):
             self.assertEqual(model.day_melb, 16)
             self.assertEqual(model.day_utc, 15)
 
+    def test_extract_invalid_field_with_timezone(self):
+        melb = pytz.timezone('Australia/Melbourne')
+        msg = 'tzinfo can only be used with DateTimeField.'
+        with self.assertRaisesMessage(ValueError, msg):
+            DTModel.objects.annotate(
+                day_melb=Extract('start_date', 'day', tzinfo=melb),
+            ).get()
+        with self.assertRaisesMessage(ValueError, msg):
+            DTModel.objects.annotate(
+                hour_melb=Extract('start_time', 'hour', tzinfo=melb),
+            ).get()
+
     def test_trunc_timezone_applied_before_truncation(self):
         start_datetime = datetime(2016, 1, 1, 1, 30, 50, 321)
         end_datetime = datetime(2016, 6, 15, 14, 10, 50, 123)