A drilling screw contains on its front end facing away from the screw head a drill bit having two drilling cutters. At an axial distance from the drilling cutters the screw shank has a constriction, within which the diameter of the screw shank is smaller than the diameter of the hole produced by the drill bit. The constriction is configured such that it has a shoulder running almost transversely to the longitudinal axis and facing the screw head and from which the diameter gradually approaches again the core diameter of the shank. Within this constriction begins the thread, wherein the thread edge initially has a distance from the longitudinal axis of the screw which corresponds roughly to the radius of the hole. The thread edge then runs along a spiral up to the final outer diameter of the thread on the shank.
