A clamping pin is intended to be inserted into and held in an opening of a medical device. The clamping pin comprises a screw having a longitudinal axis, a first clamping element having a surface inclined to the longitudinal axis and provides a first part of a clamping section. A second clamping element has a surface inclined to the longitudinal axis and provides a second part of the clamping section which is complementary to the opening in the medical device. The inclined surfaces of the first and second clamping elements are in contact. A screw extends at least partly through both the first and second clamping elements. The screw engages in one of the clamping elements such that the axial distance between the two clamping elements and the diameter of the clamping section that can come in contact with a surface of the opening in the medical device will be changed upon actuation of the screw.