Accommodative intraocular lens for implantation in an eye within a natural capsular bag in the eye, said natural capsular bag being attached at its periphery to a ciliary muscle of the eye by means of zonular fibres, the intraocular lens comprising: - a first lens part comprising: - a light-transparent optic body with an optical axis, an anterior optic body surface and a posterior optic body surface, - a haptic securely connected to the optic body, said haptic being configured to engage with the capsular bag in order to arrange the optic body in the middle of the capsular bag, - a flexible membrane securely connected to the haptic or the optic body, said flexible membrane having an anterior membrane surface and a posterior membrane surface, wherein the membrane is arranged adjacent to the anterior optic body surface, wherein the membrane has a centre axis which extends congruent or parallel to the optical axis, wherein the posterior membrane surface has a radius of curvature and wherein the membrane is transparent to light, and - a second lens part having a hollow cylinder, wherein a proximal end of the hollow cylinder can be placed on the anterior membrane surface of the first lens part in such a way that a compressive force, which acts on a distal end of the hollow cylinder parallel to the optical axis and which is generable by a movement of the ciliary muscle of the eye, renders the hollow cylinder and the membrane displaceable along the optical axis in the direction to the anterior optic body surface and the posterior membrane surface experiences a change in the radius of curvature thereof, characterized in that the hollow cylinder can be detachably coupled to the membrane. - a first lens part comprising: - a light-transparent optic body with an optical axis, an anterior optic body surface and a posterior optic body surface, - a haptic securely connected to the optic body, said haptic being configured to engage with the capsular bag in order to arrange the optic body in the middle of the capsular bag, - a flexible membrane securely connected to the haptic or the optic body, said flexible membrane having an anterior membrane surface and a posterior membrane surface, wherein the membrane is arranged adjacent to the anterior optic body surface, wherein the membrane has a centre axis which extends congruent or parallel to the optical axis, wherein the posterior membrane surface has a radius of curvature and wherein the membrane is transparent to light, and - a second lens part having a hollow cylinder, wherein a proximal end of the hollow cylinder can be placed on the anterior membrane surface of the first lens part in such a way that a compressive force, which acts on a distal end of the hollow cylinder parallel to the optical axis and which is generable by a movement of the ciliary muscle of the eye, renders the hollow cylinder and the membrane displaceable along the optical axis in the direction to the anterior optic body surface and the posterior membrane surface experiences a change in the radius of curvature thereof, - a light-transparent optic body with an optical axis, an anterior optic body surface and a posterior optic body surface, - a haptic securely connected to the optic body, said haptic being configured to engage with the capsular bag in order to arrange the optic body in the middle of the capsular bag, - a flexible membrane securely connected to the haptic or the optic body, said flexible membrane having an anterior membrane surface and a posterior membrane surface, wherein the membrane is arranged adjacent to the anterior optic body surface, wherein the membrane has a centre axis which extends congruent or parallel to the optical axis, wherein the posterior membrane surface has a radius of curvature and wherein the membrane is transparent to light, and - a second lens part having a hollow cylinder, wherein a proximal end of the hollow cylinder can be placed on the anterior membrane surface of the first lens part in such a way that a compressive force, which acts on a distal end of the hollow cylinder parallel to the optical axis and which is generable by a movement of the ciliary muscle of the eye, renders the hollow cylinder and the membrane displaceable along the optical axis in the direction to the anterior optic body surface and the posterior membrane surface experiences a change in the radius of curvature thereof,