In a leaf spring suspension for a rear vehicle axle including a rigid axle body, wherein the suspension comprises leaf springs extending in the longitudinal direction of the vehicle at opposite sides of the vehicle and the leaf springs have front and rear end supports by way of which they are mounted to the vehicle body, the rear supports for supporting the springs on the vehicle body in a longitudinally displaceable manner are stiff in a transverse direction and the front supports are resilient in a transverse direction such that, when the vehicle is subjected to side forces, a pivot pole is established for the rear axle, which is disposed behind the center of the rear axle.