A clutch device for connecting a driving machine part to a driven machine part comprises an elastomeric clutch which is arranged on a first drive-side or output-side end section of the clutch device. A tooth clutch is arranged on a second output-side or drive-side end section of the clutch device. Moreover, an intermediate shaft which connects the elastomeric clutch to the tooth clutch is provided. Moreover, the tooth clutch and the elastomeric clutch have restoring forces which are adapted to one another in such a way that, in the case of a radial displacement, the clutch device has both central running and axial offset compensation.