The present invention relates to an improved glenoid anchor for a shoulder joint prosthesis, in particular a convertible prosthesis, of the type intended to be fixed to a glenoid cavity of a shoulder blade and comprising: a structurally independent pin (2), with an internally hollow and essentially thimble-like conical sleeve (12), which has a tapered distal end (3) and an open proximal end (4); an annular recess (15, 55) formed inside an internal cavity (13) of the pin (2), for receiving by means of mechanical interference a lug (30) of a prosthesis component (9, 9', 9"), substantially locking the lug (30) inside the internal cavity (13); the outer surface of the sleeve (12) of the pin (2) having an irregular or trabecular structure for favouring osteogenesis and bone integration.