The running control device according to the present invention has an operation stability control unit which calculates a control lateral acceleration from the actual lateral acceleration measured by the lateral acceleration sensor and the estimated lateral acceleration calculated by the estimated lateral acceleration calculation unit and which carries out a control of drive power distribution transmitted from the engine to the front wheels and the rear wheels based on the calculated control lateral acceleration. If either the estimated lateral acceleration or the control lateral acceleration differs from the actual lateral acceleration by not less than a predetermined value, the operation stability control unit carries out a control to reduce the drive power distributed to the front wheels or the rear wheels.