A running guide apparatus for a vehicle includes stereoscopic picture processing element for processing a pair of stereoscopic pictures of an object outside a vehicle imaged by a imaging system mounted on the vehicle, construction detection element for detecting a plurality of various constructions by using three dimensional position data calculated with each portion of the object corresponding to the distance distribution data from the stereoscopic picture processing element; gap distance calculation element for respectively calculating the nearest distance as right and left gap distances each between an extended line of right or left side of the vehicle and each of ends on the vehicle side of the plurality of various constructions detected by the construction detection element; and information element for informing the driver of data related to the right and left gap data calculated by the gap distance calculation element; so as to obtain a distance distribution of an entire picture in dependency upon a discrepancy amount positions corresponding to of the pair of the stereoscopic pictures in accordance with a principle of a triangulation.