diff --git a/django/forms/fields.py b/django/forms/fields.py
index f1275aa387..65d6a9ec82 100644
--- a/django/forms/fields.py
+++ b/django/forms/fields.py
@@ -349,6 +349,17 @@ class DecimalField(IntegerField):
             raise ValidationError(self.error_messages['invalid'], code='invalid')
         return value
 
+    def validate(self, value):
+        super().validate(value)
+        if value in self.empty_values:
+            return
+        if not value.is_finite():
+            raise ValidationError(
+                self.error_messages['invalid'],
+                code='invalid',
+                params={'value': value},
+            )
+
     def widget_attrs(self, widget):
         attrs = super().widget_attrs(widget)
         if isinstance(widget, NumberInput) and 'step' not in widget.attrs:
diff --git a/docs/releases/3.2.6.txt b/docs/releases/3.2.6.txt
index 426b9c6797..222e169901 100644
--- a/docs/releases/3.2.6.txt
+++ b/docs/releases/3.2.6.txt
@@ -9,4 +9,6 @@ Django 3.2.6 fixes several bugs in 3.2.5.
 Bugfixes
 ========
 
-* ...
+* Fixed a regression in Django 3.2 that caused a crash validating ``"NaN"``
+  input with a ``forms.DecimalField`` that had a specified ``max_value``
+  (:ticket:`32949`).
diff --git a/tests/forms_tests/field_tests/test_decimalfield.py b/tests/forms_tests/field_tests/test_decimalfield.py
index d999dab3f3..df5b9052b2 100644
--- a/tests/forms_tests/field_tests/test_decimalfield.py
+++ b/tests/forms_tests/field_tests/test_decimalfield.py
@@ -49,7 +49,7 @@ class DecimalFieldTest(FormFieldAssertionsMixin, SimpleTestCase):
         self.assertIsNone(f.min_value)
 
     def test_enter_a_number_error(self):
-        f = DecimalField(max_digits=4, decimal_places=2)
+        f = DecimalField(max_value=1, max_digits=4, decimal_places=2)
         values = (
             '-NaN', 'NaN', '+NaN',
             '-sNaN', 'sNaN', '+sNaN',