The invention relates to a device for controlling the suspension of the body shell of a motor vehicle. According to the invention, the device comprises: a sensor for sensing wheel travel in relation to the body shell for each wheel, a first means (20, 21) for calculating a variable modal shock absorption gain (bmod) as a function of at least the travel measurements in order to calculate a first set modal shock absorption stress (Fmod) using formula Fmod = - bmod. Vmod, and a second means (22) for calculating the set force of the shock absorber as a function of the first stress (Fmod).