This glenoidal component for a shoulder prosthesis comprises a base which may be immobilized on the glenoid cavity of a shoulder, and an element provided to be mounted on this base and forming a convex surface of articulation centered on an axis of symmetry. This axis of symmetry is non-perpendicular to a rear face of the base intended to abut against the glenoid cavity, this making it possible to compensate a defect in parallelism between the resectioned surface of the glenoid cavity and the axis of the patient's spinal column. A surgeon can select the component most adapted to the orientation of the resectioned surface from a set of components in which the axes of symmetry of the components are oriented differently with respect to their rear faces.
