diff --git a/src/datasets/fingerprint.py b/src/datasets/fingerprint.py
index 13b801621bb..57590d2a4a1 100644
--- a/src/datasets/fingerprint.py
+++ b/src/datasets/fingerprint.py
@@ -7,7 +7,7 @@
 from functools import wraps
 from pathlib import Path
 from typing import TYPE_CHECKING, Any, Callable, Optional, Union
-
+import types
 import numpy as np
 import xxhash
 
@@ -208,9 +208,39 @@ def hash_bytes(cls, value: Union[bytes, list[bytes]]) -> str:
         for x in value:
             m.update(x)
         return m.hexdigest()
-
+    @staticmethod
+    def _hash_callable(func):
+        code = func.__code__
+        freevars = {}
+        if func.__closure__:
+            for name, cell in zip(code.co_freevars, func.__closure__):
+                try:
+                    val = cell.cell_contents
+                # if the free variable is an object (like self),
+                # only keep its __dict__ filtered to simple types
+                    if hasattr(val, "__dict__"):
+                        freevars[name] = {
+                        k: v for k, v in val.__dict__.items()
+                        if isinstance(v, (int, float, str, bool, type(None)))
+                        }
+                    else:
+                        freevars[name] = val
+                except ValueError:
+                    freevars[name] = "<empty cell>"
+        return (code.co_code, code.co_consts, code.co_varnames, freevars)
+    
     @classmethod
     def hash(cls, value: Any) -> str:
+        if (
+        isinstance(value, types.FunctionType)
+        and value.__closure__
+        and any(
+            hasattr(cell.cell_contents, "__dict__")
+            for cell in value.__closure__
+            if hasattr(cell, "cell_contents")
+        )
+        ):
+            value = cls._hash_callable(value)
         return cls.hash_bytes(dumps(value))
 
     def update(self, value: Any) -> None:
diff --git a/tests/test_fingerprint.py b/tests/test_fingerprint.py
index 393d0e5137c..278b7c984ee 100644
--- a/tests/test_fingerprint.py
+++ b/tests/test_fingerprint.py
@@ -573,3 +573,26 @@ def test_dependency_on_dill():
     # AttributeError: module 'dill._dill' has no attribute 'stack'
     hasher = Hasher()
     hasher.update(lambda x: x)
+
+
+
+def test_map_fingerprint_stable_with_nondeterministic_closure():
+    import uuid
+    from datasets import Dataset
+
+    class DataModule:
+        def __init__(self):
+            self.max_length = 512
+            self._uid = uuid.uuid4()  # non-deterministic, changes every instantiation
+            self.ds = Dataset.from_dict({"text": ["hello", "world"]})
+
+        def process(self):
+            def fn(examples):
+                ml = self.max_length
+                return {"text": [t[:ml] for t in examples["text"]]}
+            return self.ds.map(fn, batched=True)
+
+    fp1 = DataModule().process()._fingerprint
+    fp2 = DataModule().process()._fingerprint
+
+    assert fp1 == fp2, f"Expected same fingerprint but got {fp1} != {fp2}"
\ No newline at end of file