A coupling device has two components which are rotatable relative to one another, a recess which is provided on the first component, and a locking element which is held movably on the second component and is movable relative to the components between a locking position in which the locking element engages in the recess and a release position in which engagement of the locking element in the recess is prevented. An actuating device is provided which is displaceable relative to the components and relative to the locking element and which has an actuating element formed from a first material, by which a movement of the locking element out of one of the positions into the other position can be effected by displacement of the actuating device. The actuating device has a main body which is formed from a second material which is different from the first material.