In various embodiments, a spinal stabilization system has a first and a second vertebral anchor each adapted to be coupled to one of a first and a second vertebrae. The system also includes a flexible connecting element coupled to each of the first and second vertebral anchors and extending between the vertebral anchors. The connecting element has a central member and a brace positioned about the central member and the central member is stiffer than the brace to provide the needed combination of support and stiffness to the construct while offering flexibility. These and other various embodiments of this invention offer an improvement over known systems by providing stabilization of the vertebral column while allowing for flexibility and axial dampening.