A coupling device (K) has a first positive-locking clutch (K0), a second positive-locking clutch (K1), an axially fixed first shaft (W1), an axially fixed second shaft (W2), a connecting shaft (WV) and an actuator (AK). The first shaft (W1), the second shaft (W2) and the connecting shaft (WV) are arranged coaxially to each other. By closing the first clutch (K0), a torque-proof connection between the first shaft (W1) and the connecting shaft (WV) is established, and by closing the second clutch (K1), a torque-proof connection between the connecting shaft (WV) and the second shaft (W2) is established. The actuator through axial displacement of the connecting shaft (WV), shifts both the first clutch (K0) and the second clutch (K1) between an engaged state and a disengaged state, such that the connecting shaft (WV) is movable to a multitude of axial positions to achieve different engaged states of the clutches.