Prosthesis for inserting into a damaged intervertebral disc having an elongated tubular main prosthesis body with a length to fit laterally from one side of a disc to the other at its mid-plane. The main prosthesis body has a vertical height slightly greater than the height of normal disc space of the damaged intervertebral disc into which it is to be implanted, and a shape in cross section normal to its longitudinal axis so that main prosthesis body makes appropriate contact with vertebrae abutting to the damaged intervertebral disc. Heads having a vertical height greater than the vertical height of the main prosthesis body are mounted on the ends of the main prosthesis body. A method for implanting from one side only and a method for explanting from one side only.