The invention relates to a cleaning device for cleaning an optical device of a motor vehicle, wherein the cleaning device features at least two cleaning units and at least one holder upon which the cleaning units are arranged. Each cleaning unit has a drive part and a cleaning part, wherein the drive part features an electroactive polymer and can at least partly move the cleaning part. The holder on which the cleaning units are arranged can move between a working position, in which the cleaning units are positioned relative to the optical device in such a manner that the drive part can move the cleaning parts across a surface of the optical device that is to be cleaned, and a rest position, in which the cleaning units are positioned away from the optical device. The cleaning device is embodied in such a manner that each cleaning part of the cleaning units is moved over a subarea assigned to it of the surface to be cleaned, wherein the subareas can at least partly overlap.