A vacuum gripper comprising a base body having a suction side and an upper side, the suction side having a plurality of suction points and in each case a fixed number of suction points being combined to form a suction point group, a number of suction chambers (SC) corresponding to the number of suction point groups, each SC being assigned a suction point group, a distributor chamber (DC), the DC having at least a number of DC openings corresponding to the number of SC and a DC opening being flow-connected to a respective SC opening of a SC assigned thereto, and a plurality of valves, a valve being assigned to each suction point group and each valve having a valve channel. The respective valve is designed as a valve module having its own valve housing and the valve housing can be arranged on the upper side of the base body.