The total arthroplasty joint prosthesis includes connectors (2, 4) fixed in the pedicles Vp of the spinal levels by anchoring screws (3), upper and lower connecting elements (5, 6) connecting the connectors (2, 4) to each other, and guiding and damping element (7) connecting the upper and lower connecting elements (5, 6), the guiding and damping element (7) and the upper and lower connecting elements (5, 6) being constructed with relation to each other so as to define at least one rotation and sliding axis C situated at the level of the upper superjacent vertebra Va of the instrumented segment Sr in order to limit the stresses on the anchoring screws (3) ensuring fixation of the connectors (2) in the superjacent vertebra Va.