A springing system for a rail vehicle having a frame and a wheel bearing, has two substantially vertical spring elements connectable with the frame or the wheel bearing and located at both sides of the latter, two resiliently yieldable bushings each connected with the respective spring element and located between the latter and the wheel bearing or the frame, respectively, and two resiliently yieldable intermediate elements each located intermediate one of the bushings and the wheel bearing or the frame, respectively. Each of the bushings together with the respective intermediate element forms a stop for absorbing a longitudinal force which is produced during acceleration or deceleration of the veicle. The springing system also provides for a radial adjustment of the wheels of the vehicle under the action of a friction force between the wheels and the rails when the vehicle moves along a curved path.