diff --git a/pandas/core/arrays/masked.py b/pandas/core/arrays/masked.py
index b5c686f53597f..1f3790e0dfccc 100644
--- a/pandas/core/arrays/masked.py
+++ b/pandas/core/arrays/masked.py
@@ -1126,7 +1126,7 @@ def _wrap_na_result(self, *, name, axis, mask_size):
         mask = np.ones(mask_size, dtype=bool)
 
         float_dtyp = "float32" if self.dtype == "Float32" else "float64"
-        if name in ["mean", "median", "var", "std", "skew"]:
+        if name in ["mean", "median", "var", "std", "skew", "kurt"]:
             np_dtype = float_dtyp
         elif name in ["min", "max"] or self.dtype.itemsize == 8:
             np_dtype = self.dtype.numpy_dtype.name
diff --git a/pandas/tests/arrays/integer/test_reduction.py b/pandas/tests/arrays/integer/test_reduction.py
index 5326a8cb0356b..1c91cd25ba69c 100644
--- a/pandas/tests/arrays/integer/test_reduction.py
+++ b/pandas/tests/arrays/integer/test_reduction.py
@@ -22,6 +22,7 @@
         ["var", np.float64(0.5)],
         ["std", np.float64(0.5**0.5)],
         ["skew", pd.NA],
+        ["kurt", pd.NA],
         ["any", True],
         ["all", True],
     ],
@@ -44,6 +45,7 @@ def test_series_reductions(op, expected):
         ["var", Series([0.5], index=["a"], dtype="Float64")],
         ["std", Series([0.5**0.5], index=["a"], dtype="Float64")],
         ["skew", Series([pd.NA], index=["a"], dtype="Float64")],
+        ["kurt", Series([pd.NA], index=["a"], dtype="Float64")],
         ["any", Series([True], index=["a"], dtype="boolean")],
         ["all", Series([True], index=["a"], dtype="boolean")],
     ],
@@ -95,6 +97,7 @@ def test_groupby_reductions(op, expected):
         ["var", Series([2, 2], index=["B", "C"], dtype="Float64")],
         ["std", Series([2**0.5, 2**0.5], index=["B", "C"], dtype="Float64")],
         ["skew", Series([pd.NA, pd.NA], index=["B", "C"], dtype="Float64")],
+        ["kurt", Series([pd.NA, pd.NA], index=["B", "C"], dtype="Float64")],
         ["any", Series([True, True, True], index=["A", "B", "C"], dtype="boolean")],
         ["all", Series([True, True, True], index=["A", "B", "C"], dtype="boolean")],
     ],