Abstract: A suspension for a vehicle including two hydraulic shock absorbers interconnecting respective remote zones of the suspended part of the vehicle to respective non-suspended parts. Each shock absorber is of the twin tube type with a compensation chamber which communicates with a lower chamber of the cylinder by way of a communication duct formed in a valve-containing endpiece. Inside the duct there are arranged a compression valve which allows the shock absorber fluid to flow towards the compensation chamber during contraction of the shock absorber and between the compression valve and the compensation chamber. A shut-off valve which is normally open is operated in the closing direction by a pilot pressure. The upper chamber of each shock absorber is connected by a respective hydraulic tube to a chamber controlling the shut-off valve of the other shock absorber. The shut off valve closes when the pressure exceeds a predetermined threshold.