The vertebral anchoring device according to the present invention comprises connectors (2) that are linked to one another by connecting rods (3) and are fixed on bone-anchoring screws (5) implanted in the vertebrae (4) of a vertebral column, each connector (2) being composed of a connection element (6) that comprises receiving and fixing means to permit immobilization of the connecting rod (3) in translation and in rotation, each connection element (6) comprising, opposite the means for receiving and fixing the connecting rod (3), a seat (12) that cooperates with a connecting device (17) permitting assembly of the anchoring screw (5), which connecting device (17), before immobilization of the connecting rod (3) in the connection element (6), ensures, on the one hand, lateral and independent tilting movements of the connection element (6) and of the anchoring screw (5) relative to each other and, on the other hand, rotation of the anchoring screw (5) for fixing it in the body of the vertebra (4).