A bone implant (10) is implanted in a cavity parallel to an implant axis (l) and without substantial rotation. The implant includes, on an implant portion to be implanted, cutting edges (14), which do not extend in a common plane with the implant axis and are facing toward the distal end of the implant. The implant also includes surface ranges (16) of a material that is liquefiable by mechanical oscillations. The cutting edges (14) are dimensioned such that they are lodged in the cavity wall after implantation. For implantation, the implant is impinged with mechanical oscillations, resulting in the thermoplastic material being at least partially liquefied and pressed into unevennesses and pores of the cavity wall to form a form-fit and/or material-fit connection between implant (10) and cavity wall, when re-solidified. The cutting edges (14) anchor the implant in the cavity wall.