Coupling device with a first coupling component, in which a coupling recess having a central longitudinal axis is formed, into which coupling recess a second coupling component can be inserted axially with a coupling pin while adopting a position of use, wherein the second coupling component can be locked in an axially immovable and releasable manner with respect to the first coupling component in its position of use by locking elements capable of performing a radial working movement with respect to the central longitudinal axis, and with a drive device for the fluid-actuated control of the radial working movement of the locking elements, wherein the first coupling component has a base body surrounding the coupling recess, in which base body there are accommodated several locking elements distributed around the coupling recess, each of which is movable, within a radial working movement, between a locking position radially projecting into the coupling recess while being in locking engagement with a locking recess of the coupling pin of the second coupling component adopting the position of use and a release position displaced radially outwards compared to the locking position and enabling the second coupling component to be pulled out of the coupling recess, wherein the drive device has an actuating sleeve, which is coaxial with the coupling recess, surrounds the locking elements and can be twisted to and from about the longitudinal axis of the coupling recess relative to the base body while performing a rotative actuating movement, and which has an actuating structure interacting with the locking elements at its inner circumferential surface, characterised in that - the actuating sleeve furthermore has a drive sprocket, with which a rack of at least one drive piston - mounted for linear displacement - of the drive device is in toothed engagement, - wherein, by controlled fluid application by means of a fluid passage system formed in the first coupling component, a reciprocating linear drive movement of the at least one drive piston can be induced, from which results the rotative actuating movement of the actuating sleeve by virtue of the toothed engagement, - and wherein the actuating structure of the actuating sleeve is designed in such a way that, depending on the rotary position of the actuating sleeve, it either generates a thrust pushing the locking elements into the locking position or permits a retreat of the locking elements from the locking position into the release position. - the actuating sleeve furthermore has a drive sprocket, with which a rack of at least one drive piston - mounted for linear displacement - of the drive device is in toothed engagement, - wherein, by controlled fluid application by means of a fluid passage system formed in the first coupling component, a reciprocating linear drive movement of the at least one drive piston can be induced, from which results the rotative actuating movement of the actuating sleeve by virtue of the toothed engagement, - and wherein the actuating structure of the actuating sleeve is designed in such a way that, depending on the rotary position of the actuating sleeve, it either generates a thrust pushing the locking elements into the locking position or permits a retreat of the locking elements from the locking position into the release position.