diff --git a/doc/source/whatsnew/v1.5.0.rst b/doc/source/whatsnew/v1.5.0.rst
index 7e470a51858ce..b472067e28328 100644
--- a/doc/source/whatsnew/v1.5.0.rst
+++ b/doc/source/whatsnew/v1.5.0.rst
@@ -39,7 +39,7 @@ Other enhancements
 - :meth:`.GroupBy.min` and :meth:`.GroupBy.max` now supports `Numba <https://numba.pydata.org/>`_ execution with the ``engine`` keyword (:issue:`45428`)
 - Implemented a ``bool``-dtype :class:`Index`, passing a bool-dtype array-like to ``pd.Index`` will now retain ``bool`` dtype instead of casting to ``object`` (:issue:`45061`)
 - Implemented a complex-dtype :class:`Index`, passing a complex-dtype array-like to ``pd.Index`` will now retain complex dtype instead of casting to ``object`` (:issue:`45845`)
-
+- :class:`Series` and :class:`DataFrame` with ``IntegerDtype`` now supports bitwise operations (:issue:`34463`)
 -
 
 .. ---------------------------------------------------------------------------
diff --git a/pandas/core/arrays/boolean.py b/pandas/core/arrays/boolean.py
index 10cb7683e57d4..10469f2aef9ea 100644
--- a/pandas/core/arrays/boolean.py
+++ b/pandas/core/arrays/boolean.py
@@ -375,9 +375,9 @@ def _logical_method(self, other, op):
             result, mask = ops.kleene_or(self._data, other, self._mask, mask)
         elif op.__name__ in {"and_", "rand_"}:
             result, mask = ops.kleene_and(self._data, other, self._mask, mask)
-        elif op.__name__ in {"xor", "rxor"}:
+        else:
+            # i.e. xor, rxor
             result, mask = ops.kleene_xor(self._data, other, self._mask, mask)
 
-        # error: Argument 2 to "BooleanArray" has incompatible type "Optional[Any]";
-        # expected "ndarray"
-        return BooleanArray(result, mask)  # type: ignore[arg-type]
+        # i.e. BooleanArray
+        return self._maybe_mask_result(result, mask)
diff --git a/pandas/core/arrays/masked.py b/pandas/core/arrays/masked.py
index 248eef0bb4430..ffa65577e4d5e 100644
--- a/pandas/core/arrays/masked.py
+++ b/pandas/core/arrays/masked.py
@@ -675,6 +675,8 @@ def _arith_method(self, other, op):
 
         return self._maybe_mask_result(result, mask)
 
+    _logical_method = _arith_method
+
     def _cmp_method(self, other, op) -> BooleanArray:
         from pandas.core.arrays import BooleanArray
 
diff --git a/pandas/tests/arrays/floating/test_arithmetic.py b/pandas/tests/arrays/floating/test_arithmetic.py
index d0f25d2cd5026..ec7419d6346a8 100644
--- a/pandas/tests/arrays/floating/test_arithmetic.py
+++ b/pandas/tests/arrays/floating/test_arithmetic.py
@@ -218,3 +218,15 @@ def test_unary_float_operators(float_ea_dtype, source, neg_target, abs_target):
     tm.assert_extension_array_equal(pos_result, arr)
     assert not tm.shares_memory(pos_result, arr)
     tm.assert_extension_array_equal(abs_result, abs_target)
+
+
+def test_bitwise(dtype):
+    left = pd.array([1, None, 3, 4], dtype=dtype)
+    right = pd.array([None, 3, 5, 4], dtype=dtype)
+
+    with pytest.raises(TypeError, match="unsupported operand type"):
+        left | right
+    with pytest.raises(TypeError, match="unsupported operand type"):
+        left & right
+    with pytest.raises(TypeError, match="unsupported operand type"):
+        left ^ right
diff --git a/pandas/tests/arrays/integer/test_arithmetic.py b/pandas/tests/arrays/integer/test_arithmetic.py
index dc5071e7585a9..e6a085ceb4d29 100644
--- a/pandas/tests/arrays/integer/test_arithmetic.py
+++ b/pandas/tests/arrays/integer/test_arithmetic.py
@@ -323,3 +323,30 @@ def test_values_multiplying_large_series_by_NA():
     expected = pd.Series([pd.NA] * 10001)
 
     tm.assert_series_equal(result, expected)
+
+
+def test_bitwise(dtype):
+    left = pd.array([1, None, 3, 4], dtype=dtype)
+    right = pd.array([None, 3, 5, 4], dtype=dtype)
+
+    result = left | right
+    expected = pd.array([None, None, 3 | 5, 4 | 4], dtype=dtype)
+    tm.assert_extension_array_equal(result, expected)
+
+    result = left & right
+    expected = pd.array([None, None, 3 & 5, 4 & 4], dtype=dtype)
+    tm.assert_extension_array_equal(result, expected)
+
+    result = left ^ right
+    expected = pd.array([None, None, 3 ^ 5, 4 ^ 4], dtype=dtype)
+    tm.assert_extension_array_equal(result, expected)
+
+    # TODO: desired behavior when operating with boolean?  defer?
+
+    floats = right.astype("Float64")
+    with pytest.raises(TypeError, match="unsupported operand type"):
+        left | floats
+    with pytest.raises(TypeError, match="unsupported operand type"):
+        left & floats
+    with pytest.raises(TypeError, match="unsupported operand type"):
+        left ^ floats