The present invention relates to an intervertebral disc prosthesis comprising at least three pieces including an upper plate, a lower plate, and a movable core at least in relation to a plate, wherein it also comprises at least one elongated movable osseous anchor comprising an insertion end disposed at a first longitudinal end of the anchor and a retention end disposed at a second longitudinal end of the anchor and a plate-like body disposed between the insertion end and the retention end.