diff --git a/django/utils/dateparse.py b/django/utils/dateparse.py
index 0945c0c761..e069f5df39 100644
--- a/django/utils/dateparse.py
+++ b/django/utils/dateparse.py
@@ -144,4 +144,6 @@ def parse_duration(value):
             kw['microseconds'] = '-' + kw['microseconds']
         kw = {k: float(v.replace(',', '.')) for k, v in kw.items() if v is not None}
         days = datetime.timedelta(kw.pop('days', .0) or .0)
+        if match.re == iso8601_duration_re:
+            days *= sign
         return days + sign * datetime.timedelta(**kw)
diff --git a/tests/utils_tests/test_dateparse.py b/tests/utils_tests/test_dateparse.py
index 59dcab6b1c..0ecbe24847 100644
--- a/tests/utils_tests/test_dateparse.py
+++ b/tests/utils_tests/test_dateparse.py
@@ -135,8 +135,11 @@ class DurationParseTests(unittest.TestCase):
             ('P4M', None),
             ('P4W', None),
             ('P4D', timedelta(days=4)),
+            ('-P1D', timedelta(days=-1)),
             ('P0.5D', timedelta(hours=12)),
             ('P0,5D', timedelta(hours=12)),
+            ('-P0.5D', timedelta(hours=-12)),
+            ('-P0,5D', timedelta(hours=-12)),
             ('PT5H', timedelta(hours=5)),
             ('-PT5H', timedelta(hours=-5)),
             ('PT5M', timedelta(minutes=5)),
@@ -147,6 +150,7 @@ class DurationParseTests(unittest.TestCase):
             ('PT0,000005S', timedelta(microseconds=5)),
             ('-PT0.000005S', timedelta(microseconds=-5)),
             ('-PT0,000005S', timedelta(microseconds=-5)),
+            ('-P4DT1H', timedelta(days=-4, hours=-1)),
         )
         for source, expected in test_values:
             with self.subTest(source=source):