The invention relates to an implant (1) for receiving a connecting pin (17, 17', 17'') of a medical element, comprising a longitudinal axis (9), a distal end (3) and a proximal end (4) from which a receiving recess (10) for the connecting pin (17, 17', 17'') extends into the interior of the implant (1). Said implant (1) can be linked in a positive or non-positive fit with the interior peripheral surface of a receiving bore in a bone. The connecting pin (17, 17', 17'') adapted to the receiving recess (10) can be anchored in said receiving recess by clamping, shrinking, gluing or cementing. The medical element, when anchored, rests fully on the proximal end (4) of an associated contact surface (5) of the implant (1) with a contact surface (18) of a head part (16) that projects radially outwards in its cross-section beyond the cross-section of the receiving recess (10) on the proximal end (4) of the implant (1). The receiving recess has a cylindrical section (10Z) to which a section (10V) is adjacent that has a tapered cross-section. The connecting pin (17, 17', 17'') also has a cylindrical section (17Z) to which a section (17V) is adjacent that has a tapered cross-section.