An intraocular lens assembly comprising an intraocular lens structure (IOL) (1) for placement in a capsular bag (22) of one eye (20), said IOL (1) comprising: - an optical structure (2) comprising a perimeter (10); - at least two rear supports (5, 5 '), coupled to, and extending from, said perimeter (10) of said optical structure (2), to reside within the capsular bag (22) when the IOL (1) is implanted in the capsular bag (22), and - at least two anterior supports (6, 6 '), coupled to, and extending from, said perimeter (10) of said optical structure (2) , to reside outside the capsular bag (22) when the IOL (1) is implanted in the capsular bag, the anterior supports (6, 6 ') and the posterior supports (5.5') are mutually positioned on said perimeter (10) to secure an anterior flap of the capsular bag between them to ensure the optical structure (2) of the IOL (1) aligned with an opening (32) in an anterior part of the capsular bag (23), said assembly The intraocular lens further comprises a secondary intraocular lens (S-IOL) (30) for fixation on an anterior side (3) of the IOL (1), characterized in that the said S-IOL (30) comprises: - a secondary optical structure (35) comprising a secondary perimeter (36); - at least two fixing parts (37, 37 '), coupled to said secondary perimeter (36) and each to be coupled with one of the above mentioned supports (6, 6'), to fix said S-IOL (30 ) in said IOL (1) with the optical structure (2) and the secondary optical structure (35) aligned, and - a ring (41) around said secondary optical structure (35), an internal perimeter of the said one being attached ring (41) to the secondary perimeter, the said internal perimeter being adjusted around the perimeter (10) of the optical structure (2) of the IOL (1).Un conjunto de lente intraocular que comprende una estructura de lente intraocular (IOL) (1) para su colocación en una bolsa capsular (22) de un ojo (20), comprendiendo la citada IOL (1): - una estructura óptica (2) que comprend