diff --git a/doc/source/whatsnew/v1.5.0.rst b/doc/source/whatsnew/v1.5.0.rst
index 55bfb044fb31d..48b12338b8d03 100644
--- a/doc/source/whatsnew/v1.5.0.rst
+++ b/doc/source/whatsnew/v1.5.0.rst
@@ -902,6 +902,7 @@ Reshaping
 - Bug in :func:`get_dummies` that selected object and categorical dtypes but not string (:issue:`44965`)
 - Bug in :meth:`DataFrame.align` when aligning a :class:`MultiIndex` to a :class:`Series` with another :class:`MultiIndex` (:issue:`46001`)
 - Bug in concanenation with ``IntegerDtype``, or ``FloatingDtype`` arrays where the resulting dtype did not mirror the behavior of the non-nullable dtypes (:issue:`46379`)
+- Bug in :func:`concat` not sorting the column names when ``None`` is included (:issue:`47331`)
 - Bug in :func:`concat` with identical key leads to error when indexing :class:`MultiIndex` (:issue:`46519`)
 - Bug in :meth:`DataFrame.join` with a list when using suffixes to join DataFrames with duplicate column names (:issue:`46396`)
 - Bug in :meth:`DataFrame.pivot_table` with ``sort=False`` results in sorted index (:issue:`17041`)
diff --git a/pandas/core/algorithms.py b/pandas/core/algorithms.py
index 888e943488953..cf73fd7c8929e 100644
--- a/pandas/core/algorithms.py
+++ b/pandas/core/algorithms.py
@@ -1771,9 +1771,12 @@ def safe_sort(
 def _sort_mixed(values) -> np.ndarray:
     """order ints before strings in 1d arrays, safe in py3"""
     str_pos = np.array([isinstance(x, str) for x in values], dtype=bool)
-    nums = np.sort(values[~str_pos])
+    none_pos = np.array([x is None for x in values], dtype=bool)
+    nums = np.sort(values[~str_pos & ~none_pos])
     strs = np.sort(values[str_pos])
-    return np.concatenate([nums, np.asarray(strs, dtype=object)])
+    return np.concatenate(
+        [nums, np.asarray(strs, dtype=object), np.array(values[none_pos])]
+    )
 
 
 def _sort_tuples(values: np.ndarray) -> np.ndarray:
diff --git a/pandas/tests/reshape/concat/test_concat.py b/pandas/tests/reshape/concat/test_concat.py
index eb44b4889afb8..17c797fc36159 100644
--- a/pandas/tests/reshape/concat/test_concat.py
+++ b/pandas/tests/reshape/concat/test_concat.py
@@ -469,12 +469,12 @@ def __iter__(self):
         tm.assert_frame_equal(concat(CustomIterator2(), ignore_index=True), expected)
 
     def test_concat_order(self):
-        # GH 17344
+        # GH 17344, GH#47331
         dfs = [DataFrame(index=range(3), columns=["a", 1, None])]
-        dfs += [DataFrame(index=range(3), columns=[None, 1, "a"]) for i in range(100)]
+        dfs += [DataFrame(index=range(3), columns=[None, 1, "a"]) for _ in range(100)]
 
         result = concat(dfs, sort=True).columns
-        expected = dfs[0].columns
+        expected = Index([1, "a", None])
         tm.assert_index_equal(result, expected)
 
     def test_concat_different_extension_dtypes_upcasts(self):