A vehicle includes a wheel suspension device on a right side and a wheel suspension device on a left side, with the right and left side wheel suspension devices being connected to each other through a rear frame mounted on a body frame. The right and left side wheel suspension devices include a lower arm supported at an inner end of the rear frame so as to extend outward and so as to be pivotally movable in a vertical direction. The right and left side wheel suspension devices also include an upper arm connected to the outer end of the lower arm through a wheel-supporting knuckle and so as to extend outward from the knuckle. The wheel suspension devices are provided with a rear cushion unit connected at one end to the swinging side end of one of the lower and upper arm members. At least one of the inner end of the upper arm and the other end of the rear cushion unit is supported on the rear frame so as to be pivotally movable.