In a multi-disk clutch comprising a rotary body having splines formed thereon so as to extend helically along the surface thereof, with a number of disks having central openings with inwardly projecting teeth via which the discs are in rotationally positively locking engagement with the rotary body, the teeth are twisted so as to extend in a plane normal to the surface of the helically extending splines of the rotary body so that the end face areas of the teeth are in planar contact with the spline surfaces of the rotary body for the transmission of torque between the rotary body and the disks.