Liouville is a small lunar impact crater that is located near the eastern limb of the Moon.

It was named after French mathematician Joseph Liouville.

The crater is circular and bowl-shaped, with a small interior floor at the midpoint of the sloping interior walls.

The western and northwestern rim is attached to a depression in the surface that has the appearance of a distorted crater formation.

Farther to the west is the comparably sized Respighi.