Abstract: The present invention relates to a suspension for a set of wheels of a vehicle, in which the wheels are rotatably carried by the end of an axle arm of which the hub is mounted to rotate at the end of a cross member fast with the structure of the vehicle. According to the invention, the suspension is constituted by two torsion bars coupled for each of them between one of the arms and an element fast with the structure. Each torsion bar extends parallel to the axis of the hub and to the exterior thereof, and is immobilized in rotation by one of its ends on the corresponding arm and by the other of its ends on the element which is located in the vicinity of the other arm. The hub of each of the arms is movable in translation along its axis with respect to the cross member. The invention finds particular application to the automobile industry.