diff --git a/lib/matplotlib/axis.py b/lib/matplotlib/axis.py
index e7f6724c4372..f89278323738 100644
--- a/lib/matplotlib/axis.py
+++ b/lib/matplotlib/axis.py
@@ -807,6 +807,7 @@ def _set_axes_scale(self, value, **kwargs):
             - `matplotlib.scale.SymmetricalLogScale`
             - `matplotlib.scale.LogitScale`
             - `matplotlib.scale.FuncScale`
+            - `matplotlib.scale.AsinhScale`
 
         Notes
         -----
diff --git a/lib/matplotlib/colorbar.py b/lib/matplotlib/colorbar.py
index 920c0d67722a..092d4afc54ac 100644
--- a/lib/matplotlib/colorbar.py
+++ b/lib/matplotlib/colorbar.py
@@ -998,6 +998,7 @@ def _set_scale(self, scale, **kwargs):
             - `matplotlib.scale.SymmetricalLogScale`
             - `matplotlib.scale.LogitScale`
             - `matplotlib.scale.FuncScale`
+            - `matplotlib.scale.AsinhScale`
 
         Notes
         -----