A modular humeral head system includes a housing having an outer surface and an inner surface. A hemispherical socket formed on one end of the inner surface and threads formed on the other end of the inner surface. A cap is attached at the threaded end of the housing. The cap has one or more threaded holes that run from the top surface to bottom surface of the cap. A screw may be inserted in each hole. The modular humeral head system also includes an intermediate piece having a hemispherical head at one end of a tapered shaft. The tapered shaft is inserted in a humeral stem. The hemispherical head and the hemispherical socket form a ball and socket coupling. A trial head may be impacted on the housing. The trial head has one or more holes that are aligned with the screws inserted in the cap. In use, the assembly of the trial head, cap and housing can be adjusted to be in any angular orientation about hemispherical head. The tightening of the one or more screws fixes the angular position of the trial head. An optimum position for the trial head is established via trial reduction, the one or more screws tightened to fix the position of the head and the trial head is replaced with a humeral head of corresponding size and shape. The maximum adjustment of the angular position may be limited by a limiting mechanism. In another embodiment, bone cement or other bio-compatible material is introduced in a chamber formed between the cap and the hemispherical head.