An accommodating intraocular artificial lens with variable optical power, comprising two optical elements which are adapted to mutually shift in a direction perpendicular to the optical axis wherein the optical elements have such a shape that the optical elements exhibit, in combination, different optical powers at different relative positions. Flanges are adapted to position the anterior section of the haptics in the sulcus of the eye or, alternatively, the ciliary body is enclosed by a combination of anterior and posterior flanges. Also disclosed are methods to provide for an accommodating intraocular lens which is adjustable post-implant to ensure emmetropia of the eye.