Intraocular lens with accommodation capability, comprising a system of optical power comprising a first optical element (1) with a dynamic and variable optical power and comprising two surfaces (1a, 1b) respectively corresponding to a front surface (1a) and a rear surface (1b), at least one of which has a susceptible curvature of deforming elastically in response to tensile forces of the ciliary muscle of the eye, an equatorial region (1c) about said surfaces (1a, 1b) and a second optical element (2) with an optical power fixed with a front curved face (2a) and a rear curved face (2b), the second optical element (2) associated with the first optical element (1), such being the first optical element (1) and the second optical element (2) together have a combined optical power given by a combination of the optical power of the second optical element sets (2) and the dynamics of the first optical element (1), an anchorage system (3) for anchoring the first optical element (1) to at least a portion of the capsular bag lens for transmitting the first optical element (1) forces optical power generated by the ciliary muscle and transmitted to the capsular bag through zonular fibers, comprising the capsular bag in the natural state, an anterior capsule, a posterior capsule and an equatorial capsule, the anchorage system (3) being selected from traction mechanisms mechanical fastening, biocompatible adhesives systems, microstructures that promote capsular fibrosis, and combinations thereof, the second optical element (2) is attached to the first optical element (1) such that at least respective central parts of one of the curved faces (2a, 2b) of the second optical element (1) and at least one of the surfaces (1a, 1b) of the first optical element (1) are in contact with each other； joint optical power varies between a state of minimum optical power corresponding to a state-lag in which the intraocular lens is capable of focusing the eye at a distance far vision, and a state
