An accommodative intraocular lens system comprising a base and a bonnet that is attachable or attached to the base, wherein the base includes a base lens and the bonnet includes a bonnet lens and a bonnet ring holding the bonnet lens, wherein when the base is attached to the bonnet, the base lens and the bonnet lens are arranged so that they are movable relatively to each other, and wherein the bonnet lens is attached to the bonnet ring such that when the base is attached to the bonnet, a compression force applied to the bonnet ring and to the base can move the bonnet lens and the base lens towards each other.