The prosthetic material for replacing at least one portion of the radial glenoid of a radius includes a plate (2) extended by an endpiece (3) and a set of screws (4) for fastening the plate (2) on the receiving bone material (R). The plate (2) has a planar body (7) extended by an extension (5) forming a portion of the endpiece (3) and having an inner face (5) extending in a general plane (D) that is angularly offset relative to the plane (P) of the plate body (7). This extension (5) co-operates with a fitted panel (6) forming the other portion of the endpiece (3) and having an outer face (3) reproducing at least approximately at least a portion of the surface of the radial glenoid of the radius. The fitted panel is secured on the support extension (5) via a slideway structure (11, 13).