To provide a vehicle for running on an off-road capable of reducing the size and weight of its body frame.

Rotatably round a pivot 19, the tip of each rear arm 18 is coupled with a rear arm bracket 17 fastened to a body frame 4, and the rear wheels are pivoted rotatably at the tails of the rear arms 18. In this vehicle for running on an off-road, the coupling point of the tip of each rear arm 18 to the rear arm bracket 17 is located behind the body frame 4 (down tubes 4a). According to this arrangement, there is no need to arrange the tip of the rear arm 18 in such a way as offset to inside a left and a right down tube 4a as in conventional technique, and the width between the left and right down tubes 4a can be set to the same as the width of the tip of the rear arm 18, and thereby the body frame 4 including down tubes 4a can be miniaturized and made light.