The invention relates to an intervertebral disc prosthesis comprising at leasttwo plates (1, 2), namely first (1) and second (2) plates, articulated abouteach other by means of a curved surface (11, 31), namely articulation, of atleast one of the plates, each of the plates (1, 2) comprising a surface (14,24) known as a contact surface, intended to be in contact with a vertebralplate of one of the vertebrae between which the prosthesis is intended to beinserted, this contact surface for each of the plates comprising a geometricalcentre (G1, G2) at equal distance from at least two diametrically oppositepoints located on the periphery of the plate (1, 2), characterised in that thegeometric centres (G1, G2) of the plates (1, 2) are not vertically aligned,this off-setting (D) of the geometrical centres (G1, G2) of the platesengendering an off-setting of the edges of the plates (1, 2) in at least onedirection perpendicular to the vertical axis of the spinal column.
