A vertebral fixing system having a flexible elongated member, a connecting part, and an anchor, where the anchor may engage a bone structure (e.g., a vertebra) through an opening of the connecting part and the flexible elongated member may connect to the connecting part. In some cases, the vertebral fixing system may include a tightening part configured to apply a tension to the elongated member and/or secure the elongated member with respect to the connecting part. The vertebral fixing system may be configured to receive a rod and may be capable of connecting thereto. The connecting part may have a plurality of connecting members, where at least one of the connecting members includes an opening for receiving the anchor and at least one of the connecting members connects to the elongated member.