The spinal fixation device includes a slidable connection (4) for interconnecting an anchoring screw (1) and a solidifying rod (3). The sliding connection includes a hole (16) for passage of the anchoring screw, and a reception device (18) for receiving a section of the rod, oriented along a transverse axis and for receiving a tightening device (21,22) for tightening the rod in the reception device. The sliding connection also includes a point (9) designed for penetrating a vertebral bone to retain the sliding connection on the bone.