diff --git a/pandas/core/algorithms.py b/pandas/core/algorithms.py
index 0d97f8a298fdb..92bd55cac9c5e 100644
--- a/pandas/core/algorithms.py
+++ b/pandas/core/algorithms.py
@@ -68,6 +68,7 @@
     ABCExtensionArray,
     ABCIndex,
     ABCMultiIndex,
+    ABCNumpyExtensionArray,
     ABCSeries,
     ABCTimedeltaArray,
 )
@@ -1161,11 +1162,14 @@ def take(
     ... )
     array([ 10,  10, -10])
     """
-    if not isinstance(arr, (np.ndarray, ABCExtensionArray, ABCIndex, ABCSeries)):
+    if not isinstance(
+        arr,
+        (np.ndarray, ABCExtensionArray, ABCIndex, ABCSeries, ABCNumpyExtensionArray),
+    ):
         # GH#52981
         raise TypeError(
-            "pd.api.extensions.take requires a numpy.ndarray, "
-            f"ExtensionArray, Index, or Series, got {type(arr).__name__}."
+            "pd.api.extensions.take requires a numpy.ndarray, ExtensionArray, "
+            f"Index, Series, or NumpyExtensionArray got {type(arr).__name__}."
         )
 
     indices = ensure_platform_int(indices)
diff --git a/pandas/tests/test_take.py b/pandas/tests/test_take.py
index ce2e4e0f6cec5..451ef42fff3d1 100644
--- a/pandas/tests/test_take.py
+++ b/pandas/tests/test_take.py
@@ -5,6 +5,7 @@
 
 from pandas._libs import iNaT
 
+from pandas import array
 import pandas._testing as tm
 import pandas.core.algorithms as algos
 
@@ -303,7 +304,14 @@ def test_take_coerces_list(self):
         arr = [1, 2, 3]
         msg = (
             "pd.api.extensions.take requires a numpy.ndarray, ExtensionArray, "
-            "Index, or Series, got list"
+            "Index, Series, or NumpyExtensionArray got list"
         )
         with pytest.raises(TypeError, match=msg):
             algos.take(arr, [0, 0])
+
+    def test_take_NumpyExtensionArray(self):
+        # GH#59177
+        arr = array([1 + 1j, 2, 3])  # NumpyEADtype('complex128') (NumpyExtensionArray)
+        assert algos.take(arr, [2]) == 2
+        arr = array([1, 2, 3])  # Int64Dtype() (ExtensionArray)
+        assert algos.take(arr, [2]) == 2