The suspension device controls the range of movement between a suspended point connected to the body 3 of a vehicle and a non-suspended point connected to a wheel 2 which includes an elastic link 1 mounted between said suspended and non-suspended points, the elastic link being essentially composed of a spring of stiffness K and predetermined length under a reference load and a reversible electric jack 5 acting parallel to the spring 4 in order to control the movements between said suspended and non-suspended points. The device controls the electric jack so that, based on a variation observed in the distance between the suspended and non-suspended points caused by relative displacement of the suspended and non-suspended points, regardless of the direction of displacement, it first follows the spring while supplying the electric jack 5 with electrical energy so that it develops a force oriented in the same direction as the displacement, and then releases the force developed by the electric jack 5 so as to cancel out the force within a predetermined relaxation time.