diff --git a/CHANGELOG.md b/CHANGELOG.md
index 9282c421..08db6643 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,6 +1,7 @@
 # DeepDiff Change log
 
 - Unreleased
+    - Fixed custom operators being called for excluded objects, including paths excluded by `include_paths` (#633).
     - Fixed missing type changes between equal-comparing items inside ordered iterables, e.g. `DeepDiff([2], [2.0])` now reports the `int` → `float` change like `DeepDiff(2, 2.0)` and `DeepDiff({'a': 2}, {'a': 2.0})` already do (issue #605).
 
 - v9-1-0
diff --git a/deepdiff/diff.py b/deepdiff/diff.py
index 4c7a4e5c..af7fa86f 100755
--- a/deepdiff/diff.py
+++ b/deepdiff/diff.py
@@ -2135,13 +2135,17 @@ def _diff(self, level, parents_ids=frozenset(), _original_type=None, local_tree=
         if self._count_diff() is StopIteration:
             return
 
-        if self._use_custom_operator(level):
+        # Custom operators may report differences even for identical objects.
+        if level.t1 is level.t2 and not self.custom_operators:
             return
 
-        if level.t1 is level.t2:
+        if self._skip_this(level):
             return
 
-        if self._skip_this(level):
+        if self._use_custom_operator(level):
+            return
+
+        if level.t1 is level.t2:
             return
 
         report_type_change = True
diff --git a/deepdiff/docstrings/custom.rst b/deepdiff/docstrings/custom.rst
index e2ff1d96..8269436f 100644
--- a/deepdiff/docstrings/custom.rst
+++ b/deepdiff/docstrings/custom.rst
@@ -133,6 +133,12 @@ if you are considering whether they are fruits or not.
 
 In that case, you can pass a *custom_operators* for the job.
 
+DeepDiff checks whether a comparison is excluded before calling custom operators'
+``match()`` and ``give_up_diffing()`` methods. These methods are not called for excluded
+objects. With ``include_paths``, operators can still be called for the root and ancestors
+of an included path, as well as the included subtree. Operators can also inspect identical
+objects on included paths.
+
 Custom operators give you a lot of power. In the following examples, we explore various use cases such as:
 
 - Making DeepDiff report the L2 Distance of items
diff --git a/tests/test_operators.py b/tests/test_operators.py
index 98444680..39a069c0 100644
--- a/tests/test_operators.py
+++ b/tests/test_operators.py
@@ -8,6 +8,90 @@
 
 
 class TestOperators:
+    @pytest.mark.parametrize('exclude_options', [
+        {'exclude_paths': ['b']},
+        {'exclude_paths': ["root['b']"]},
+        {'exclude_regex_paths': [r"\['b'\]$"]},
+        {'exclude_obj_callback': lambda obj, path: path == "root['b']"},
+    ])
+    @pytest.mark.parametrize('prevent_default', [False, True])
+    def test_custom_operator_skips_excluded_paths(self, exclude_options, prevent_default):
+        matched_paths = []
+        compared_paths = []
+
+        class CustomClass:
+            def __init__(self, values):
+                self.values = values
+
+        class ListMatchOperator(BaseOperator):
+            def match(self, level):
+                matched_paths.append(level.path())
+                return super().match(level)
+
+            def give_up_diffing(self, level, diff_instance):
+                compared_paths.append(level.path())
+                if level.t1.values == level.t2.values:
+                    diff_instance.custom_report_result('equal_lists', level, {})
+                return prevent_default
+
+        shared = CustomClass([1, 2, 3])
+        t1 = {'a': shared, 'b': CustomClass([1, 2, 3])}
+        t2 = {'a': shared, 'b': CustomClass([1, 2, 3, 4])}
+
+        result = DeepDiff(t1, t2, custom_operators=[ListMatchOperator(types=[CustomClass])], **exclude_options)
+
+        assert "root['b']" not in matched_paths
+        assert compared_paths == ["root['a']"]
+        assert result == {'equal_lists': {"root['a']": {}}}
+
+    @pytest.mark.parametrize('include_path', ['root[0]', 'root[0][0]'])
+    @pytest.mark.parametrize('prevent_default', [False, True])
+    def test_custom_operator_skips_paths_outside_included_subtree(self, include_path, prevent_default):
+        matched_paths = []
+        compared_paths = []
+
+        class CustomClass:
+            def __init__(self, value):
+                self.value = value
+
+        class RecordingOperator(BaseOperator):
+            def match(self, level):
+                matched_paths.append(level.path())
+                return super().match(level)
+
+            def give_up_diffing(self, level, diff_instance):
+                compared_paths.append(level.path())
+                if level.t1.value == level.t2.value:
+                    diff_instance.custom_report_result('equal_values', level, {})
+                return prevent_default
+
+        shared = CustomClass(1)
+        t1 = [[shared], CustomClass(2)]
+        t2 = [[shared], CustomClass(3)]
+
+        result = DeepDiff(
+            t1, t2,
+            include_paths=[include_path],
+            custom_operators=[RecordingOperator(types=[CustomClass])],
+        )
+
+        assert matched_paths == ['root', 'root[0]', 'root[0][0]']
+        assert compared_paths == ['root[0][0]']
+        assert result == {'equal_values': {'root[0][0]': {}}}
+
+    @pytest.mark.parametrize('exclude_options', [
+        {'exclude_paths': ['root']},
+        {'exclude_types': [dict]},
+    ])
+    def test_custom_operator_skips_excluded_root(self, exclude_options):
+        class UnexpectedOperator(BaseOperator):
+            def match(self, level):
+                raise AssertionError('Excluded objects should not reach custom operators')
+
+        result = DeepDiff({'a': 1}, {'a': 2}, custom_operators=[UnexpectedOperator()], **exclude_options)
+
+        assert result == {}
+
     def test_custom_operators_prevent_default(self):
         t1 = {
             "coordinates": [