Structure enabling continuous angular adjustment for fixing a single dental device to an implant. The structure is formed from a ringwise tiltable threaded shank and a fixing unit for fixing the threaded shank to the implant. The fixing element is formed from an insertion piece and an intermediate piece. The lower end of threaded shank is placed between the end of the insertion piece and the upper end of the intermediate piece. A fixing nut is mounted on the threaded shank. The intermediate piece and the insertion piece are secured to each other by a joining element. The joining element is provided with lower corners and upper corners. A coupling body is installed on the joining element. A mould or the frame is fixed to the coupling body by the fixing nut.