A surface structure is produced on an outer surface of an implant or a fixture and forms a base structure in a range of implants related to different types and qualities of jaw bone. During production of the surface, parts of a turning tool are placed against the implant or against a blank which is intended to form the implant. The parts and/or the implant are assigned controls which give rise to mutual displacements between the parts and the implant so that the parts follow a substantially spiral trajectory along the outer surface. By means of said controls, a long wave pattern is formed with successive peaks and with through lying between these. In this connection, a through can be arranged adjacent to the outer parts of an existing thread. The controls are chosen so as to produce through depths in the range of 25 to 250 μm, preferably 50 to 200 μm. The invention also relates to an implant which has the same character as the implant produced by the method.
