A caster suspension system for a multi-axle transport vehicle for moving heavy loads includes two fluid activated cylinders and two spaced apart arms for each wheel and axle set which allow the transport vehicle to be raised and lowered with respect to the roadway. The suspension system mechanically stabilizes the axles with respect to the transport vehicle thereby reducing axle yaw and allowing higher transport speeds. As the transport vehicle moves, the suspension system casters into alignment with the direction of travel.