An interlocking reverse shoulder prosthesis including a glenoid cup being implanted in the glenoid fossa having a glenoid ball, firmly attached to the central portion of the cup via Morse taper. The humeral component having a hemispherical cup attached to the neck of the implant via Morse taper in a modular fashion thereby allowing use of several neck lengths. After implantation of the glenoid cup, glenoid hall and the humeral cup, the members are assembled together for relative movement. The glenoid cup is secured by several screws or resorbable fixation studs. During range of motion, the edge of the humeral cup becomes inserted into a gap located between the glenoid cup and the glenoid ball and becomes restrained thus reducing the likelihood of dislocation during extreme range of motion.