Equipment at least one anchoring assembly including a hook integral with a body, this body being passed through by a hole and capable of being connected to connection means making it possible to connect the anchoring assembly to a connection bar for connecting a series of vertebrae. The anchoring assembly has a continuous flexible ligament able to be engaged in the hole and to form a loop allowing the engagement of the ligament around a structure of a vertebrae or mounted on a vertabrae, and has stop means making it possible to immobilize this ligament in relation to the body.