Abstract: An artificial intervertebral disk for replacing a damaged human disk between two adjacent vertebrae in a human spinal column is disclosed. The invention comprises a pair of cylindrically shaped members in a vertical stacked relationship and a flexible spacer therebetween. The cylindrically shaped members are joined together in a ball and socket relationship which provides full rotational movement thereof. The flexible spacer therebetween provides the resilient compressive strength necessary to maintain the vertical separation of the adjacent vertebrae. The flexible resilient spacer completely surrounds the ball and socket portions of the cylindrically shaped members. Each cylindrically shaped member is fastened to the bone in the adjacent vertebrae with an arcuate plate and is secured with a fastener that engages the bone in the adjacent vertebrae and a threaded recess in the cylindrically shaped member.