diff --git a/lib/matplotlib/path.py b/lib/matplotlib/path.py
index 5088596a893f..e1daf35eed45 100644
--- a/lib/matplotlib/path.py
+++ b/lib/matplotlib/path.py
@@ -600,7 +600,10 @@ def get_extents(self, transform=None, **kwargs):
                 # as can the ends of the curve
                 xys.append(curve([0, *dzeros, 1]))
             xys = np.concatenate(xys)
-        return Bbox([xys.min(axis=0), xys.max(axis=0)])
+        if len(xys):
+            return Bbox([xys.min(axis=0), xys.max(axis=0)])
+        else:
+            return Bbox.null()
 
     def intersects_path(self, other, filled=True):
         """
diff --git a/lib/matplotlib/tests/test_path.py b/lib/matplotlib/tests/test_path.py
index ebe2e1a46de7..2c4844b47f37 100644
--- a/lib/matplotlib/tests/test_path.py
+++ b/lib/matplotlib/tests/test_path.py
@@ -19,6 +19,8 @@ def test_empty_closed_path():
     path = Path(np.zeros((0, 2)), closed=True)
     assert path.vertices.shape == (0, 2)
     assert path.codes is None
+    assert_array_equal(path.get_extents().extents,
+                       transforms.Bbox.null().extents)
 
 
 def test_readonly_path():