In a rear suspension device of an automotive vehicle, a shock absorber is provided perpendicularly to a H-shaped lower arm in a side view, respective axis of resilient bushes of pivotal portions which pivotally support upper and lower arms at a vehicle-body side are configured to be parallel to a standard line which extends in a vehicle longitudinal direction in a plan view, and an imaginary axial line which interconnects respective centers of front and rear connection portions, via which the lower arm is connected to a wheel side, is configured to extend obliquely forward and inward relatively to the vehicle longitudinal direction.