1. A running guide apparatus for a vehicle having a pair of cameras mounted on a front portion of said vehicle for taking a three-dimensional picture of objects in front of the vehicle and for generating a picture signal, said apparatus comprising: stereoscopic picture processing means responsive to said picture signal for processing a pair of stereoscopic pictures of said object outside said vehicle and for producing a distance signal by obtaining a distance distribution of an entire picture in dependency upon a discrepancy amount positions corresponding to said pair of the stereoscopic pictures in accordance with a principle of a triangulation; object detection means responsive to said distance signal for detecting a plurality of various objects by using three dimensional position data calculated with each portion of the object corresponding to the distance distribution and for generating a distance signal; gap distance calculation means responsive to a distribution signal for respectively calculating a nearest distance of right and left gap distances each between an extended line of right or left side of the vehicle and each end of the vehicle side from the plurality of various objects and for producing a distance signal; and information means responsive to said distance signal for informing a driver of data related to the right and left gap data so as to entirely and exactly display surrounding conditions of said vehicle and to largely decrease burdens of said driver when running on a narrow road.