A shoulder prosthesis comprising a socket and a condyle that cooperates with the socket. The condyle also cooperates with a base plate facing the scapula similar to a clamping connection. The condyle is plugged onto the base plate by means of a receptacle that is embodied on the condyle. The base plate can be anchored to the glenoid fossa of the scapula with the aid of two peg-type protrusions.