Disclosed is an intervertebral disc prosthesis for the total replacement of a natural intervertebral disc within the lumbar and cervical spine, comprising of articulating sliding partners. The upper sliding partner has means for a firm assembly to an upper vertebral body and the lower sliding partner has means for a firm assembly to a lower vertebral body. At least one sliding surface is between two sliding partners. Two- and three-part functional designs are planned and both having in common, that, as a result of the shape of the articulating surface(s), the laterolateral and dorsoventral motion amplitudes differ. The resulting angles including the rotation around a fictitious vertical axis can be defined to a desired extent.