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 being plugged onto the base plate by means of a receptacle that is embodied on the condyle and is concentric to the center line thereof. the base plate can be anchored to the glenoid fossa of the scapula with the aid of a protrusion located on the base plate as well as anchoring elements which can be accommodated within sleeves provided on the base plate. According to the invention, the base plate has a dome-shaped bottom surface that is to rest against the glenoid fossa of the scapula, the center of the dome shape being eccentric to the center line of the base plate.
