A shifting device for a gearbox which has at least one sliding sleeve that is placed on a transmission shaft in a rotationally fixed and axially movable manner. One idler gear, which is rotationally supported on the transmission shaft, is located at on one side adjacent the sleeve. The sliding sleeve can be axially moved, by an actuating element, from a neutral position into a shifting position toward the idler gear, and upon reaching the shifting position, couples the idler gear with the transmission shaft. The associated actuating elements are arranged in a stationary manner and, upon actuation, engage with at least one shifting groove, provided on an outside diameter of the at least one sliding sleeve and has a curve-shaped path, in the axial direction, so that rotation of the transmission shaft axially shifts the sliding sleeve according to the further path of the shifting groove.