In a material handling and stair climbing vehicle, when the vehicle is shifted from a state where the wheels with two axles are grounded on a travelling surface to a standing state achieved by the wheels with one axle, a main body portion is turned around support shafts with respect to supporting portions in the two-axle wheel grounded state. Then, an inertial force around the support shafts is generated by reducing the speed of turning of the main body portion with respect to the supporting portions. Then, the vehicle is shifted to the standing state achieved by the wheels with one axle by turning the supporting portions around the axles of the wheels with one axle, which are grounded on the travelling surface, by the inertial force.