The instrument has a collet (19) that has at least two clamping jaws (18, 18′) for engaging an engaging means (4) on an implant body (1). The collet is received in a sleeve portion (20), the free end (21) of which has a support portion (22) that can be supported on the surface of the implant. A tension element (23) that engages the collet is used as an actuating means for actuating the collet. The outer faces of the clamping jaws interact with the inner face of the sleeve portion such that the collet can be closed and moved relative to the free end of the sleeve portion by pulling the tension element.