An independent steerable air suspension system includes a torsional member to interconnect independent longitudinally extending suspension arms. The torsional member ties together the suspension arms to minimize side loads upon an air spring to increase vehicle roll stiffness. Bending moment due to the wheel load offset, braking, and other side-skid loads are transmitted through the suspension arms and the torsional member. In another embodiment, the suspension system includes an additional lateral support member which provides a rigid square-shaped suspension system which further increases rigidity.