An intervertebral disc prosthesis having two cover plates and a prosthesis core that extends to the circumferential edge of the cover plates. The prosthesis core is mounted to the lower cover plate and forms a spherical sliding surface with the upper cover plate. The connection surface of the cover plates may be set back from the circumferential perimeter of the cover plates to provide an optimum size of the spherical sliding surface despite the set-back nature of the connection surface. The set-back is configured as an inclined transition surface that adjoins the connection surface to the circumferential edge. The set-back allows the intervertebral disc prosthesis to be fully inserted into the prepared disc space into the spared dorsolateral corners without protruding ventrally.
