A shifting device including at least one coupling device, a shaft, a sliding sleeve-of the coupling device which is arranged in an axially moveable and rotationally fixed manner on the shaft and an actuator arrangement of the coupling device for axially moving the sliding sleeve. At least one coupling toothing is associated with the coupling element which can rotate about a rotational axis with respect to the shaft and a counter toothing corresponding to the coupling toothing is associated with the sliding sleeve in a rotationally fixed manner. At least one annular actuator element of the actuator arrangement surrounds the periphery of the sliding sleeve about the rotational axis.