diff --git a/django/db/models/expressions.py b/django/db/models/expressions.py
index 2968e2cfee..b2a90c1a3f 100644
--- a/django/db/models/expressions.py
+++ b/django/db/models/expressions.py
@@ -1041,11 +1041,11 @@ class Exists(Subquery):
     def __invert__(self):
         return type(self)(self.queryset, negated=(not self.negated), **self.extra)
 
-    def resolve_expression(self, query=None, **kwargs):
+    def resolve_expression(self, query=None, *args, **kwargs):
         # As a performance optimization, remove ordering since EXISTS doesn't
         # care about it, just whether or not a row matches.
         self.queryset = self.queryset.order_by()
-        return super().resolve_expression(query, **kwargs)
+        return super().resolve_expression(query, *args, **kwargs)
 
     def as_sql(self, compiler, connection, template=None, **extra_context):
         sql, params = super().as_sql(compiler, connection, template, **extra_context)
diff --git a/docs/releases/2.0.3.txt b/docs/releases/2.0.3.txt
index 277cab7573..252e51fcf0 100644
--- a/docs/releases/2.0.3.txt
+++ b/docs/releases/2.0.3.txt
@@ -15,3 +15,5 @@ Bugfixes
 * Prioritized the datetime and time input formats without ``%f`` for the Thai
   locale to fix the admin time picker widget displaying "undefined"
   (:ticket:`29109`).
+
+* Fixed crash with ``QuerySet.order_by(Exists(...))`` (:ticket:`29118`).
diff --git a/tests/expressions/tests.py b/tests/expressions/tests.py
index 218e540bd9..c2e3fb391a 100644
--- a/tests/expressions/tests.py
+++ b/tests/expressions/tests.py
@@ -38,10 +38,8 @@ class BasicExpressionsTests(TestCase):
             name="Foobar Ltd.", num_employees=3, num_chairs=4,
             ceo=Employee.objects.create(firstname="Frank", lastname="Meyer", salary=20)
         )
-        cls.gmbh = Company.objects.create(
-            name="Test GmbH", num_employees=32, num_chairs=1,
-            ceo=Employee.objects.create(firstname="Max", lastname="Mustermann", salary=30)
-        )
+        cls.max = Employee.objects.create(firstname='Max', lastname='Mustermann', salary=30)
+        cls.gmbh = Company.objects.create(name='Test GmbH', num_employees=32, num_chairs=1, ceo=cls.max)
 
     def setUp(self):
         self.company_query = Company.objects.values(
@@ -399,6 +397,14 @@ class BasicExpressionsTests(TestCase):
         )
         self.assertEqual(str(qs.query).count('JOIN'), 2)
 
+    def test_order_by_exists(self):
+        mary = Employee.objects.create(firstname='Mary', lastname='Mustermann', salary=20)
+        mustermanns_by_seniority = Employee.objects.filter(lastname='Mustermann').order_by(
+            # Order by whether the employee is the CEO of a company
+            Exists(Company.objects.filter(ceo=OuterRef('pk'))).desc()
+        )
+        self.assertSequenceEqual(mustermanns_by_seniority, [self.max, mary])
+
     def test_outerref(self):
         inner = Company.objects.filter(point_of_contact=OuterRef('pk'))
         msg = (