A cannulated bone anchor comprising a self-centering ball-joint suitable for use in a spine stabilization prosthesis which supports the spine while providing for the preservation of spinal motion. The cannulated bone anchor has a deflectable ball-rod partially received in a socket of a housing formed in the head of the bone anchor. A centering rod received partially in the ball-rod and partially within the housing operates to align the ball-rod with the longitudinal axis of the bone anchor. Deflection of the ball-rod bends the centering rod which in turn applies a restoring force upon the ball-rod. The centering rod includes an inner-superelastic core and an outer polymer sheath.