This travel control apparatus for vehicles is provided with a fellow vehicle judgement device adapted to judge whether a fellow vehicle coming close to a subject vehicle traveling on a track is present or absent, and a device for shifting a traveling course of the subject vehicle when a judgement that a fellow vehicle coming close to the subject vehicle is present is given by the fellow vehicle judgement device, so as to have the subject vehicle traveling along a solo traveling course set on the track travel along a course set close to a shoulder of the track.