A spine stabilization system including a first anchor, a second anchor and a rod for connecting the first and second anchors together. The first anchor includes an anchor body and a hook. A slot is defined between the hook and a first wall of the anchor body, facing the hook, the slot being configured to receive a bony structure. The first anchor further comprises a flexible member having first and second ends, and an intermediate portion therebetween. The anchor body is provided with an exit passage from which the first and second ends extend, and a loop passage going through the first wall and facing the hook, the intermediate portion extending from the loop passage to form a loop going through the slot and around the bony structure.