There is provided a new and novel vehicle running control device for correcting a yaw angle of a vehicle toward the yaw direction intended by a driver, together with vehicle stability control, through generating yaw moments. In order to accomplish the yaw angle correction, the inventive device operates a yaw moment generating apparatus e.g. a steering apparatus, so as to generate a direction correcting yaw moment based upon an integration value of the deviations between an actual yaw rate and its target value. The direction correcting yaw moment may be generated for correcting the yaw angle deviation remaining after the stability control is ended.