An implant designed e.g. as a replacement for an articulating surface of a human or animal joint is secured to the bone tissue with the aid of a plurality of fasteners (3). The implant (2) comprises a bone side to be brought into contact with the bone tissue, which bone side is equipped with a plurality of fastening structures restricted to this bone side. The fasteners (3) comprise a distal and a proximal side, wherein the distal side is equipped for being anchored in bone tissue and the proximal side is equipped for being connected with one of the fastening structures of the implant (2). The distal sides of the fasteners (3) are anchored in the bone tissue of the appropriately prepared bone and the implant (2) is then attached to the anchored fasteners (3) by connecting the fastening structures with the proximal sides of the fasteners (3), wherein the implant (2) is pressed against the proximal sides of the anchored fasteners (3).