A humeral prosthesis (20) for coupling with a humerus in a scapulohumeral joint arthoplasty procedure, the prosthesis comprising: a first body (22) having a joint surface (24) of the first body that defines its outer periphery generically circular (26) and a central geometric axis, the first body (a) presenting a support surface (28) opposite the articulation surface of the first body, so that the first body is hollow and can receive the head of the humerus , and (b) a rod (36) extending at a distance from the support surface which can help adjust the prosthesis on the humerus, the stem defining a central geometric axis (50) which coincides with the central geometric axis (48) of the first body (22), and a second body (30) arranged in the form of a flange (30) which extends laterally from a portion of the circular outer periphery of the surface d and articulation of the first body, in which the articulation surface of the first body and the surface of the second body define a boundary portion (40) between them, which is generically smooth and continuous, characterized in that the second body (30) is located in the upper part and the surface (32) of the second body which delimits the articulation surface of the first body is an articulation surface.Una prótesis humeral (20) para su acoplamiento con un húmero en un procedimiento de artoplastia de la articulación escapulohumeral, comprendiendo la prótesis: un primer cuerpo (22) que presenta una superficie de articulación (24) del primer cuerpo que define su periferia exterior genéricamente circular (26) y un eje geométrico central, presentando el 5 primer cuerpo (a) una superficie de soporte (28) opuesta a la superficie de articulación del primer cuerpo, de forma que el primer cuerpo es hueco y puede recibir la cabeza del húmero, y (b) un vástago (36) que se extiende a distancia de la superficie de soporte el cual puede ayudar a ajustar la prótesis sobre el húmero, definiendo el vástago un eje geométrico central (50) e