diff --git a/django/core/exceptions.py b/django/core/exceptions.py
index 31c18ee7e1..fe4bd6d1ca 100644
--- a/django/core/exceptions.py
+++ b/django/core/exceptions.py
@@ -31,6 +31,10 @@ class MultipleObjectsReturned(Exception):
     pass
 
 
+class ObjectNotUpdated(Exception):
+    pass
+
+
 class SuspiciousOperation(Exception):
     """The user did something suspicious"""
 
diff --git a/django/db/models/base.py b/django/db/models/base.py
index 89c455f313..0cdb042643 100644
--- a/django/db/models/base.py
+++ b/django/db/models/base.py
@@ -16,10 +16,12 @@ from django.core.exceptions import (
     FieldError,
     MultipleObjectsReturned,
     ObjectDoesNotExist,
+    ObjectNotUpdated,
     ValidationError,
 )
 from django.db import (
     DJANGO_VERSION_PICKLE_KEY,
+    DatabaseError,
     connection,
     connections,
     router,
@@ -47,7 +49,6 @@ from django.db.models.signals import (
     pre_save,
 )
 from django.db.models.utils import AltersData, make_model_tuple
-from django.db.utils import NoRowsAffected
 from django.utils.deprecation import RemovedInDjango60Warning
 from django.utils.encoding import force_str
 from django.utils.hashable import make_hashable
@@ -170,6 +171,20 @@ class ModelBase(type):
                     attached_to=new_class,
                 ),
             )
+            new_class.add_to_class(
+                "NotUpdated",
+                subclass_exception(
+                    "NotUpdated",
+                    tuple(
+                        x.NotUpdated
+                        for x in parents
+                        if hasattr(x, "_meta") and not x._meta.abstract
+                    )
+                    or (ObjectNotUpdated, DatabaseError),
+                    module,
+                    attached_to=new_class,
+                ),
+            )
             if base_meta and not base_meta.abstract:
                 # Non-abstract child classes inherit some attributes from their
                 # non-abstract parent (unless an ABC comes before it in the
@@ -1112,9 +1127,11 @@ class Model(AltersData, metaclass=ModelBase):
                 base_qs, using, pk_val, values, update_fields, forced_update
             )
             if force_update and not updated:
-                raise NoRowsAffected("Forced update did not affect any rows.")
+                raise self.NotUpdated("Forced update did not affect any rows.")
             if update_fields and not updated:
-                raise NoRowsAffected("Save with update_fields did not affect any rows.")
+                raise self.NotUpdated(
+                    "Save with update_fields did not affect any rows."
+                )
         if not updated:
             if meta.order_with_respect_to:
                 # If this is a model with an order_with_respect_to