A locking screw for an intramedullary nail having at least one transverse hole. The locking screw has a central longitudinal axis and includes a screw shank, which is at least partially provided with an external thread, and a screw head. The diameter of the screw head is greater than the outer diameter of the external thread, and the screw head includes a passage extending generally parallel to the longitudinal axis of the screw and the external thread. The passage is configured to receive a longitudinal wedge element. As a result, any gap between the locking screw and the intramedullary nail is eliminated and the screw is wedged in position in the transverse hole of the intramedullary nail.