An intraocular lens includes an optical portion (7; 607; 907; 1107) of a transparent, deformable material, at least one haptic (5, 6; 205, 206; 405, 406, 706; 806; 905; 1005; 1105; 1205) radially projecting from the optical portion for supporting the optical portion in a position parallel to and against an anterior iris surface plane (936; 1136), and at least one aperture (13; 213; 713; 913; 1013; 1113) bounded by the haptic. At least a stiff portion of the haptic has a higher stiffness against bending about an axis in the radial direction than the optical portion. furthermore, the stiff portion has a width (a) measured parallel to the plane and perpendicular to the radial direction, which is smaller than the size (b) of the optical portion in the direction of the width. An instrument and methods for preparing and carrying out insertion of such a lens are also described.