A coupling device for transferring a driving motion (and optionally, a working medium) from a vibration transferring handpiece to a medical or dental tool with a first coupling element provided on the handpiece and a second coupling element provided on the tool. One of the first and second coupling elements is designed as a coupling protrusion, and the other coupling element is designed as a coupling recess to receive the coupling protrusion. The coupling protrusion and the coupling recess each have a first section for releasable connection of the two coupling elements, and a second section for positioning the two coupling elements relative to their joint axis of rotation. The second section is formed on the coupling protrusion and on the coupling recess, such that the two coupling elements are guided toward one another and can be displaced along the joint axis of rotation before the two coupling elements are releasably connected to one another by the respective first sections.
