A module connector for electrically and mechanically connecting battery modules includes a connecting element, a first connecting device, and a second connecting device. The connecting element has a first interface and a second interface. The first interface can be mechanically and electrically connected to a first battery module by means of the first connecting device. The second interface can be mechanically and electrically connected to a second battery module by means of the second connecting device. At least one of the first connecting device and the second connecting device forms a joint with the connecting element for providing a geometric tolerance compensation during assembly.