A pocketed spring assembly comprises a plurality of parallel strings of springs, each string joined to at least one adjacent string, each string comprising one piece of fabric folded into first and second opposed plies. Outer pockets are formed along each string by transverse seams joining the first and second plies. One pocketed spring, at least cushion pad and at least one buckling member are positioned in each outer pocket. At least one cushion pad, at least one buckling member or any combination thereof may be individually pocketed inside an outer pocket.