The disclosure relates to intervertebral disc prostheses, which may comprise at least three pieces including an upper plate, a lower plate, and a core mobile at least relative to the lower plate, the upper surface of the core being in contact with at least a part of the lower surface of the upper plate. Various embodiments have limit stops allowing friction to be limited, while limiting or preventing the movements of the core relative to the lower plate, in translation and in rotation, respectively, along an axis substantially parallel to the lower plate and about an axis substantially perpendicular to the lower plate, and have at least one hole disposed along the lower surface of the core facilitating sliding of the core relative to the upper surface of the lower plate with which it is in contact. Instruments for inserting intervertebral prostheses are also disclosed.
