A shoulder replacement prosthesis has a head (12) for replacing the humeral head and a connection shaft (14). The head has a domed portion (16) and a flange (18) positioned at an end region of the domed portion, and the flange (18) has a width (22) which varies around the domed portion, having a greater width at a part corresponding to a region of the greater tuberosity than at a part corresponding to a region of the lesser tuberosity. The flange is provided with a plurality of connection portions (24) for securing the tendons attached to the tuberosities. By dimensioning the flange appropriately, the anatomical positioning of the tendon to bone connections can be more accurately replicated. In particular, the flange acts to bridge the so-called bare area of the humeral head. The flange (18) provides a firm immovable surface area to which connections can be made, for example by partridge bands of greater surface area and rigidity than conventional sutures. Bands may also pass to a clamp so that a plastic cage surrounds the tuberosities.
