Intervertebral disc prosthesis comprising an upper apposition plate appropriate to rest against the base plate of a vertebra, an apposition plate spaced apart from the apposition plate and suitable to rest against the upper plate of a vertebra, a plurality of elastic devices mounted between the two apposition plates and in their peripheral zones in a manner that the two apposition plates shall be displaceable in mutually resilient manner, and a central axis which runs essentially perpendicularly to the two apposition plates, the elastic devices being designed/configured in a manner that the intervertebral disc prosthesis as a whole exhibits asymmetrical stiffness.