A device for fixing a bony structure to a support member. The device includes a main body with first and second members, the second member being movable in rotation with respect to the first member, around a first axis. A flexible member passes between the members and forms a loop around a bony structure. A clamping mechanism moves the first and second members into a clamping position. A support member and the flexible member are secured between the members in the clamping position. The first axis is movable in translation along a first direction and the second member is movable in translation along the first direction. The clamping mechanism cooperates with the first and second members to move the second member in translation in the first direction.
