An acetabular prosthesis is adapted to be arranged in the acetabular of a patient for impacting it. The prosthesis includes a cup having a wall in the shape of a spherical cap intended to receive an insert within it. The outer surface of the cap is adapted to come into contact with the bottom of the patient's acetabular. The cap is extended at its peripheral edge by a cylindrical part, and at least one cavity is formed in the outer surface of the cylindrical part.