A stabilizing arrangement for a tilting running gear of a non-rail-borne vehicle is disclosed. The stabilizing arrangement includes a balance beam configured to have each end coupled to a respective suspension side of a multi-track running gear axle of the tilting running gear. A pivot bearing is connected to a frame or body of the vehicle and defines a stationary axis of rotation. The pivot bearing rotatably supports the balance beam about the stationary axis of rotation. At least one stabilizing element is connected to the balance beam and is supported with respect to a frame or body of the vehicle. The at least one stabilizing element is configured to provide a reaction force to counteract a tilting moment of the vehicle. A non-rail-borne vehicle comprising the stabilizing arrangement also is disclosed.