The invention relates to an accomodating 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 (Z 1 ,Z 2 ), wherein the optical elements have such a form as to result in a lens with different optical power at different relative positions (2”x) of the optical elements, characterized in that at least two of the optical elements of the lens comprises 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. Although the invention is adapted to correct for one single aberrations of any order the correction surfaces can be adapted to simultaneously correct multiple aberrations of more than one order.