diff --git a/pandas/_libs/lib.pyx b/pandas/_libs/lib.pyx
index 83a1b09f00a11..fa6f1ef288a13 100644
--- a/pandas/_libs/lib.pyx
+++ b/pandas/_libs/lib.pyx
@@ -573,7 +573,7 @@ def maybe_booleans_to_slice(ndarray[uint8_t, ndim=1] mask):
 
 @cython.wraparound(False)
 @cython.boundscheck(False)
-def array_equivalent_object(ndarray left, ndarray right) -> bool:
+def array_equivalent_object(ndarray left, ndarray right, strict=False) -> bool:
     """
     Perform an element by element comparison on N-d object arrays
     taking into account nan positions.
@@ -599,14 +599,14 @@ def array_equivalent_object(ndarray left, ndarray right) -> bool:
                 if x.shape != y.shape:
                     return False
                 if x.dtype == y.dtype == object:
-                    if not array_equivalent_object(x, y):
+                    if not array_equivalent_object(x, y, strict):
                         return False
                 else:
                     # Circular import isn't great, but so it goes.
                     # TODO: could use np.array_equal?
                     from pandas.core.dtypes.missing import array_equivalent
 
-                    if not array_equivalent(x, y):
+                    if not array_equivalent(x, y, strict):
                         return False
 
             elif PyArray_Check(x) or PyArray_Check(y):
diff --git a/pandas/core/dtypes/missing.py b/pandas/core/dtypes/missing.py
index 1dd4ed7100ccf..b3b540ebdeaa6 100644
--- a/pandas/core/dtypes/missing.py
+++ b/pandas/core/dtypes/missing.py
@@ -503,8 +503,8 @@ def _array_equivalent_object(
 
     try:
         if mask is None:
-            return lib.array_equivalent_object(left, right)
-        if not lib.array_equivalent_object(left[~mask], right[~mask]):
+            return lib.array_equivalent_object(left, right, strict=True)
+        if not lib.array_equivalent_object(left[~mask], right[~mask], strict=True):
             return False
         left_remaining = left[mask]
         right_remaining = right[mask]
diff --git a/pandas/tests/extension/base/missing.py b/pandas/tests/extension/base/missing.py
index cee565d4f7c1e..7f2fad5e4b781 100644
--- a/pandas/tests/extension/base/missing.py
+++ b/pandas/tests/extension/base/missing.py
@@ -1,6 +1,8 @@
 import numpy as np
 import pytest
 
+from pandas.core.dtypes.missing import _array_equivalent_object
+
 import pandas as pd
 import pandas._testing as tm
 
@@ -179,3 +181,8 @@ def test_fillna_fill_other(self, data):
         expected = pd.DataFrame({"A": data, "B": [0.0] * len(result)})
 
         tm.assert_frame_equal(result, expected)
+
+    def test_array_equivalent_object_strict_comparison(self):
+        arr1 = np.array([1, 2, 3], dtype="int32")
+        arr2 = np.array([1, 2, 3], dtype="int64")
+        assert not _array_equivalent_object(arr1, arr2, strict_nan=False)