Methods for providing a flexible spinal stabilization system operative to prevent lateral bending, extension, and rotation across two or more adjacent vertebrae are described. Broadly, the invention utilizes a pair of connectors on each vertebrae, and flexible elongated elements, such as sutures or cables, in an axial and crisscrossed pattern to provide an arrangement that resists extension, lateral bending, and torsional/rotational motion. In some embodiments, the flexible stabilization system includes a pair of locking anchors and a pair of hook-like anchors. The locking anchors are pre-threaded with a suture in a loose looped configuration before insertion into the vertebra. Once the locking anchors have been inserted, the suture loops can be looped over hook-like anchors inserted into an adjacent vertebrae to join the vertebrae and apply tension across the disc space. In some embodiments, the hook-like anchors can have multiple hooks for use in joining multiple vertebral levels.