The work aims to design the cushion packaging structure of foamed polyethylene by means of exploring the maximum acceleration-static stress curve induced by stress-strain curve. The maximum acceleration-static stress relationship was induced by stress-strain curve of foamed polyethylene and the feasibility of the method was validated in combination with example verification. The minimum thickness of cushion materials conforming to the design requirements was obtained. This method has enriched the basic theory on dynamics of packaging and facilitated the design of cushion packaging structure.