A vertebral anchor device comprising a bone anchor screw having a screw body and a screw head for coupling a link element to the screw body, the screw head being mounted to move on the screw body; the screw body comprising a threaded shank of a longitudinal axis AA for anchoring the screw body in a vertebra, and provided at one of its ends with a coupling head for coupling the screw body to the screw head; the screw head comprising a head body of a longitudinal axis BB and through which a channel passes longitudinally that is suitable for receiving, in the head body bottom portion, the coupling head; said vertebral anchor device further comprising assembly means for assembling together the coupling head and the screw head, the coupling head having a portion of cylindrical shape and of axis perpendicular to the threaded shank.