diff --git a/pandas/core/algorithms.py b/pandas/core/algorithms.py
index 92bd55cac9c5e..948836bf6a51d 100644
--- a/pandas/core/algorithms.py
+++ b/pandas/core/algorithms.py
@@ -223,13 +223,17 @@ def _ensure_arraylike(values, func_name: str) -> ArrayLike:
     """
     ensure that we are arraylike if not already
     """
-    if not isinstance(values, (ABCIndex, ABCSeries, ABCExtensionArray, np.ndarray)):
+    if not isinstance(
+        values,
+        (ABCIndex, ABCSeries, ABCExtensionArray, np.ndarray, ABCNumpyExtensionArray),
+    ):
         # GH#52986
         if func_name != "isin-targets":
             # Make an exception for the comps argument in isin.
             raise TypeError(
                 f"{func_name} requires a Series, Index, "
-                f"ExtensionArray, or np.ndarray, got {type(values).__name__}."
+                f"ExtensionArray, np.ndarray or NumpyExtensionArray "
+                f"got {type(values).__name__}."
             )
 
         inferred = lib.infer_dtype(values, skipna=False)
@@ -325,7 +329,7 @@ def unique(values):
 
     Returns
     -------
-    numpy.ndarray or ExtensionArray
+    numpy.ndarray, ExtensionArray or NumpyExtensionArray
 
         The return can be:
 
@@ -333,7 +337,7 @@ def unique(values):
         * Categorical : when the input is a Categorical dtype
         * ndarray : when the input is a Series/ndarray
 
-        Return numpy.ndarray or ExtensionArray.
+        Return numpy.ndarray, ExtensionArray or NumpyExtensionArray.
 
     See Also
     --------
@@ -405,6 +409,13 @@ def unique(values):
 
     >>> pd.unique(pd.Series([("a", "b"), ("b", "a"), ("a", "c"), ("b", "a")]).values)
     array([('a', 'b'), ('b', 'a'), ('a', 'c')], dtype=object)
+
+    An NumpyExtensionArray of complex
+
+    >>> pd.unique(pd.array([1 + 1j, 2, 3]))
+    <NumpyExtensionArray>
+    [(1+1j), (2+0j), (3+0j)]
+    Length: 3, dtype: complex128
     """
     return unique_with_mask(values)
 
diff --git a/pandas/tests/test_algos.py b/pandas/tests/test_algos.py
index 134ebededd163..cdcd36846c560 100644
--- a/pandas/tests/test_algos.py
+++ b/pandas/tests/test_algos.py
@@ -873,6 +873,14 @@ def test_unique_masked(self, any_numeric_ea_dtype):
         expected = pd.array([1, pd.NA, 2], dtype=any_numeric_ea_dtype)
         tm.assert_extension_array_equal(result, expected)
 
+    def test_unique_NumpyExtensionArray(self):
+        arr_complex = pd.array(
+            [1 + 1j, 2, 3]
+        )  # NumpyEADtype('complex128') => NumpyExtensionArray
+        result = pd.unique(arr_complex)
+        expected = pd.array([1 + 1j, 2 + 0j, 3 + 0j])
+        tm.assert_extension_array_equal(result, expected)
+
 
 def test_nunique_ints(index_or_series_or_array):
     # GH#36327
@@ -1638,7 +1646,10 @@ def test_unique_tuples(self, arr, uniques):
         expected = np.empty(len(uniques), dtype=object)
         expected[:] = uniques
 
-        msg = "unique requires a Series, Index, ExtensionArray, or np.ndarray, got list"
+        msg = (
+            r"unique requires a Series, Index, ExtensionArray, np.ndarray "
+            r"or NumpyExtensionArray got list"
+        )
         with pytest.raises(TypeError, match=msg):
             # GH#52986
             pd.unique(arr)
@@ -1657,7 +1668,11 @@ def test_unique_tuples(self, arr, uniques):
     )
     def test_unique_complex_numbers(self, array, expected):
         # GH 17927
-        msg = "unique requires a Series, Index, ExtensionArray, or np.ndarray, got list"
+        msg = (
+            r"unique requires a Series, Index, ExtensionArray, np.ndarray "
+            r"or NumpyExtensionArray got list"
+        )
+
         with pytest.raises(TypeError, match=msg):
             # GH#52986
             pd.unique(array)