Abstract: A pendular suspension system for vehicles running on railroad tracks, which comprises resilient means for tilting the vehicles in response to unbalanced centrifugal force, located symmetrically on either side of a central vertical longitudinal plane of the vehicles and being independent of one another. Resilient means are arranged to bear upon a base located above the center of gravity of the vehicle bodies and are able to yield vertically and horizontally in response to the resultant imbalance of the centrifugal force to induce increased tilt of the vehicle bodies in addition to the normal cant when the vehicles travel around a curve and become operative only when the train reaches a speed above a predetermined minimum and only when the track has a predetermined degree of curvature to thereby reduce the passenger feeling of unbalanced centrifugal force.