A mechanical auxiliary device for stabilization of free tilting suspension vehicles. The mechanical auxiliary device comprises: - a transverse shaft mounted on the vehicle body. The transverse shaft is oriented transversely to the vehicle longitudinal direction, - a first, right, torque arm and a second, left, torque arm each connected to opposite ends of the transverse shaft, - a first, right, primed spring-type element connected at its proximal end to the first, right, torque arm, and a second, left, primed spring-type element connected at its proximal end to the second, left, torque arm, the first, right primed spring-type element is connected at its distal end to a first, right, suspension arm, and the second, left, primed spring¬ type element is connected at its distal end to a second, left, suspension arm, the first primed spring-type element and the second primed spring-type element are approximately vertically oriented to the transverse shaft.