diff --git a/deepdiff/delta.py b/deepdiff/delta.py
index 6916c99..065f540 100644
--- a/deepdiff/delta.py
+++ b/deepdiff/delta.py
@@ -330,11 +330,21 @@ def _set_new_value(self, parent, parent_to_obj_elem, parent_to_obj_action,
         Set the element value on an object and if necessary convert the object to the proper mutable type
         """
         if isinstance(obj, tuple):
-            # convert this object back to a tuple later
-            obj = self._coerce_obj(
-                parent, obj, path, parent_to_obj_elem,
-                parent_to_obj_action, elements,
-                to_type=list, from_type=tuple)
+            # Check if it's a NamedTuple and use _replace() to generate a new copy with the change
+            if hasattr(obj, '_fields') and hasattr(obj, '_replace'):
+                if action == GETATTR:
+                    obj = obj._replace(**{elem: new_value})
+                    if parent:
+                        self._simple_set_elem_value(obj=parent, path_for_err_reporting=path,
+                                                    elem=parent_to_obj_elem, value=obj,
+                                                    action=parent_to_obj_action)
+                return
+            else:
+                # Regular tuple - convert this object back to a tuple later
+                obj = self._coerce_obj(
+                    parent, obj, path, parent_to_obj_elem,
+                    parent_to_obj_action, elements,
+                    to_type=list, from_type=tuple)
         if elem != 0 and self.force and isinstance(obj, list) and len(obj) == 0:
             # it must have been a dictionary    
             obj = {}
@@ -709,7 +719,12 @@ def _do_set_or_frozenset_item(self, items, func):
             obj = self._get_elem_and_compare_to_old_value(
                 parent, path_for_err_reporting=path, expected_old_value=None, elem=elem, action=action, forced_old_value=set())
             new_value = getattr(obj, func)(value)
-            self._simple_set_elem_value(parent, path_for_err_reporting=path, elem=elem, value=new_value, action=action)
+            if hasattr(parent, '_fields') and hasattr(parent, '_replace'):
+                # Handle parent NamedTuple by creating a new instance with _replace(). Will not work with nested objects.
+                new_parent = parent._replace(**{elem: new_value})
+                self.root = new_parent
+            else:
+                self._simple_set_elem_value(parent, path_for_err_reporting=path, elem=elem, value=new_value, action=action)
 
     def _do_ignore_order_get_old(self, obj, remove_indexes_per_path, fixed_indexes_values, path_for_err_reporting):
         """
diff --git a/tests/test_delta.py b/tests/test_delta.py
index 0dbc895..aa7e9f4 100644
--- a/tests/test_delta.py
+++ b/tests/test_delta.py
@@ -1,5 +1,6 @@
 import copy
 import datetime
+from typing import NamedTuple
 import pytest
 import os
 import io
@@ -624,7 +625,26 @@ def compare_func(item1, item2, level=None):
         assert flat_rows_list == preserved_flat_dict_list
         assert flat_rows_list == flat_rows_list_again
 
+    def test_namedtuple_add_delta(self):
+        class Point(NamedTuple):
+           x: int
+           y: int
 
+        p1 = Point(1, 1)
+        p2 = Point(1, 2)
+        diff = DeepDiff(p1, p2)
+        delta = Delta(diff)
+        assert p2 == p1 + delta
+
+    def test_namedtuple_frozenset_add_delta(self):
+        class Article(NamedTuple):
+            tags: frozenset
+        a1 = Article(frozenset(["a" ]))
+        a2 = Article(frozenset(["a", "b"]))
+        diff = DeepDiff(a1, a2)
+        delta = Delta(diff)
+        assert a2 == a1 + delta
+ 
 picklalbe_obj_without_item = PicklableClass(11)
 del picklalbe_obj_without_item.item