diff --git a/django/db/models/functions/text.py b/django/db/models/functions/text.py
index 8715e86898..34421eb15d 100644
--- a/django/db/models/functions/text.py
+++ b/django/db/models/functions/text.py
@@ -42,6 +42,7 @@ class PostgreSQLSHAMixin:
 class Chr(Transform):
     function = "CHR"
     lookup_name = "chr"
+    output_field = CharField()
 
     def as_mysql(self, compiler, connection, **extra_context):
         return super().as_sql(
diff --git a/tests/db_functions/text/test_chr.py b/tests/db_functions/text/test_chr.py
index 7a55994096..fe1aea3f2c 100644
--- a/tests/db_functions/text/test_chr.py
+++ b/tests/db_functions/text/test_chr.py
@@ -1,4 +1,4 @@
-from django.db.models import IntegerField
+from django.db.models import F, IntegerField
 from django.db.models.functions import Chr, Left, Ord
 from django.test import TestCase
 from django.test.utils import register_lookup
@@ -37,3 +37,13 @@ class ChrTests(TestCase):
                 authors.exclude(name_code_point__chr=Chr(ord("J"))),
                 [self.elena, self.rhonda],
             )
+
+    def test_annotate(self):
+        authors = Author.objects.annotate(
+            first_initial=Left("name", 1),
+            initial_chr=Chr(ord("J")),
+        )
+        self.assertSequenceEqual(
+            authors.filter(first_initial=F("initial_chr")),
+            [self.john],
+        )