Abstract: A suspension with variable damping or variable shock absorbing which permits varying the damping as a function of various parameters such as the speed, the height, or steering angle of the wheels. An anti-inclination or stabilizer bar is connected to the suspension arms of the wheels and to the detector for detecting the height of the front axles. The detector provides an electrical signal corresponding to the angle of rotation of the center of the stabilizer bar to an electronic calculator. When the signal exceeds a predetermined threshold value, the calculator transmits information to actuators to change the suspension damping or stiffness. The detector includes a casing mounted on the chassis and having a lever arm driven in rotation by a linkage connected to a lever rigidly attached to the center of the stabilizer bar.