An intervertebral disc prosthesis comprises a first plate including a socket and a second plate comprising a recess. A core is sandwiched between the socket and the recess. The core includes a domed surface and a plug portion. The first plate is configured to rotate upon the domed surface of the core. The second plate is substantially fixed to the core, with the plug portion engaging the recess. The core may be press-fit into the second plate during assembly of the intervertebral disc prosthesis. The first plate and second plate both include tabs that define notches, wherein the notches are configured to engage prongs of a disc insertion tool. Teeth provided on the first plate and the second plate assist in fixing the first plate and the second plate to the vertebral bodies.