Abstract: A motor vehicle with a riding saddle includes front and rear wheels, an engine, a front wheel steering device for steering the front wheel, a frame having an integral head pipe supporting the front wheel steering device, a rear fork having a front end pivotally mounted on the frame and a rear end supporting the rear wheel, and a cushioning unit having a front end pivotally coupled to the frame and a rear end coupled to the rear fork for relative angular movement. The cushioning unit extends substantially parallel to a longitudinal central axis of the motor vehicle an is displaced laterally from the longitudinal central axis, leaving a space on one side of the cushioning unit. The motor vehicle also includes accessories disposed in the space on one side of the cushioning unit. The frame includes main and down tubes extending downwardly and rearwardly from the upper and lower portions, respectively, of the head pipe. Each of the main and down tubes is composed of a pair of laterally spaced members.