An intraocular lens (IOL) having a posterior prolate aspheric surface structured to bend or flex in response to force applied to such surface due to flexing of ciliary body muscle. The flexible and bendable haptic portions of the IOL, integrated with the central optical portion along its perimeter, as sized to have the distal sides of the haptic portions installed in the capsular membrane of a natural lens of an eye or in a space between the root of the iris and ciliary muscle. The optical power of the IOL is gradually modifiable due to change of curvature of the posterior prolate aspheric surface within the eye.