diff --git a/django/db/models/query.py b/django/db/models/query.py
index 67fcb411eb..9cfe118e79 100644
--- a/django/db/models/query.py
+++ b/django/db/models/query.py
@@ -845,7 +845,7 @@ class QuerySet:
         """
         Update the given fields in each of the given objects in the database.
         """
-        if batch_size is not None and batch_size < 0:
+        if batch_size is not None and batch_size <= 0:
             raise ValueError("Batch size must be a positive integer.")
         if not fields:
             raise ValueError("Field names must be given to bulk_update().")
diff --git a/tests/queries/test_bulk_update.py b/tests/queries/test_bulk_update.py
index bc252c21c6..b2688a61c8 100644
--- a/tests/queries/test_bulk_update.py
+++ b/tests/queries/test_bulk_update.py
@@ -125,6 +125,8 @@ class BulkUpdateTests(TestCase):
         msg = "Batch size must be a positive integer."
         with self.assertRaisesMessage(ValueError, msg):
             Note.objects.bulk_update([], fields=["note"], batch_size=-1)
+        with self.assertRaisesMessage(ValueError, msg):
+            Note.objects.bulk_update([], fields=["note"], batch_size=0)
 
     def test_nonexistent_field(self):
         with self.assertRaisesMessage(