In a device for transferring vehicle wheels, an individual vehicle wheel can be gripped by a gripping module having at least one gripping unit which is supported by a frame structure and includes multiple pressing elements that can be pressed against one or more mating surfaces of an individual vehicle wheel. A first gripping module and a second gripping module are mounted on a common rigid support structure which can be rotated about a main axis of rotation by a rotating mechanism. Furthermore, the pressing elements move with a movement component running parallel to the main axis of rotation.