To limit a vehicle-widthwise swing amount of a shock absorber to a smaller amount, thereby reducing the width of a vehicle. When a shock absorber is attached to an upper bracket portion provided on a swing arm via a spherical joint, both the end faces of the upper bracket portion provided on both sides of one end of the shock absorber via gaps are such that the size of the end face in the back-and-forth direction of the vehicle body (i.e., the diameter D of the end face) is greater than the vehicle-widthwise distance S between both the end faces.