The invention relates to an intervertebral disk endoprosthesis, for the full replacement of the intervertebral disk in the region of the lumbar column and the vertebral column. Said endoprosthesis consists of articulating sliding partners (11, 12, 13), the upper sliding partner comprising means for a fixed connection to an upper vertebral body and the lower sliding partner comprising means for a fixed connection to a lower vertebral body. At least one sliding surface is arranged between the sliding partners. The inventive endoprosthesis can be embodied with two or three functional parts, and for both forms of embodiment, as a result of the shape of the articulation surface(s), the amplitude of the laterolateral and dorsoventral movement differs and the size of the resulting angles, including the rotation about an imaginary vertical axis, can be determined to a desired extent.