In a kit for an intervertebral implant comprising an upper end plate and a lower end plate for placement on adjacent vertebral bodies, and bearing elements arranged between the end plates for mutually pivotally supporting these, the end plates carrying anchoring projections on their outer sides which face the vertebral bodies, to enable an anchoring of the end plates that is adapted to the anatomical conditions, it is proposed that the kit comprise end plates of a first type, which carry at least one anchoring projection configured as a fin or a rib extending parallel to the direction of insertion of the intervertebral implant, and end plates of a second type whose anchoring projections are different from fins or ribs extending parallel to the direction of insertion, and that the kit contain both end plates of the first type and end plates of the second type for each intervertebral implant. The invention also relates to an intervertebral implant assembled in this manner.