Bone compression screws are characterized by a two-piece compression screw assembly comprising a screw component and a sleeve component. The screw component has external male bone screw threading at a distal end, external male machine screw threading on a proximal end, and a smooth shank between the threaded distal and proximal ends. The screw component may be solid, cannulated, slotted, fenestrated, fluted, helically fluted, or any combination thereof. The sleeve component has external male bone screw threading with a pitch that can be equal to, smaller than, or greater than the thread pitch of the screw component, an internal bore extending from a proximal end of the sleeve component to the distal end of the sleeve component and sized for reception over the proximal end of the screw component. Internal female machine screw threading is configured to mate with the external male machine screw threading of the screw component.
