A fastening device on an underbody of a motor vehicle is provided, via which a shifting device may be fastened to the underbody. The shifting device comprises a floor shift protruding into the vehicle interior and is covered by a central console, which may be fixedly connected to the underbody via at least one retaining element. A damping cap is provided, covering the shifting device and having a through-passage for the floor shift, and the retaining element may be fastened to the underbody by the interposition of the damping cap.