The intervertebral disc prosthesis comprises first and second plates (3, 4) designed to be attached on one of the two vertebrae adjacent to the intervertebral disc to be replaced, and a compression pad arranged between the first and second plates. Each plate comprises first attaching means including two attaching portions (14a, 14b) positioned symmetrically on either side of the anteroposterior median plane of said plate, second attaching means including two attaching portions (15a, 15b) positioned symmetrically on either side of a first plane inclined by an angle comprised between 50° and 70° relative to the anteroposterior median plane of said plate, and third attaching means opposite the second attaching means relative to the anteroposterior median plane and including two attaching portions (16a, 16b) positioned symmetrically on either side of a second plane inclined by an angle of approximately 90°, relative to the anteroposterior median plane of said plate.
