A surgical implant for connecting two flexible ligaments to vertebrae having an intervertebral stabilizer including an intra-osseous rod having a first end for implanting into a vertebrae. The intervertebral stabilizer also includes an extra-osseous head extending outwardly of the vertebrae. The extra-osseous head has two stepped portions, each with a peripheral surface, defining two ligament retaining zones. Each of the two ligament retaining zones has a shoulder, forming an axial ligament abutment on the sides of the ligament retaining zones closest to the first end. The extra-osseous head retains two flexible ligaments spaced from the vertebrae and each other by the shoulders.