An accommodating intraocular lens with variable optical power, comprising at least two optical elements, at least one of which is movable relative to the other in a direction perpendicular to the optical axis, wherein the optical elements form a lens with different optical power at different relative positions of the optical elements. At least two of the optical elements of the lens comprise at least one additional optical correction surface, which correction surfaces are adapted for simultaneous variable correction of one or more optical aberrations of the natural eye in which the degree of correction depends on the relative position of the optical elements.