A method and apparatus for restricting pivoting of an industrial vehicle axle and maintaining the vehicle stability without sacrificing the vehicle's driving performance. Pivoting of the axle with respect to the vehicle's body is temporarily restricted in accordance with the yaw acceleration when the vehicle is turned. The acceleration value for limiting restriction is varied in accordance with the stability of the vehicle, which is determined by the state of the carried load. The limit value is relatively high when the load state causes the vehicle to be relatively stable and is relatively low when the load state causes the vehicle to be relatively unstable.