A wheel construction and arrangement wherein a wheel which has a relatively wide surface contact tire, pneumatic, for example, is mounted for rotation in a yoke which extends in the direction of travel of the vehicle which the wheel supports. The yoke is tiltable on a substantially horizontal axis which extends below the wheel axis and relatively close to the supporting surface. Lateral displacement of the body to which the yoke (and wheel) is attached will cause the wheel to tilt in that direction and any subsequent longitudinal motion in either direction of wheel travel will result in the wheel righting itself; i.e., correcting for that displacement. Conversely, tilting of the yoke and wheel to a certain degree will cause the wheel to travel in a precisely prescribed arc. The vertical plane in which the tilt axis lies passes through the area of tire contact with the supporting surface regardless of the angle of tilt.