Abstract: In this paper, an analytical solution for the probability density function (PDF) of the acceleration response in the forward dynamics of the suspended cushioning packaging system is constructed. Based on this, the inverse problem of the optimal design of the suspended cushioning packaging structure is studied. The approximate analytical solution for the PDF of the acceleration response of the suspended cushioning packaging under random vibration is derived and verified through Ansys finite element. By analyzing the influence of external excitation and system parameters on the random response of system acceleration, the theoretical applicability range and suggestions for engineering parameter design are given. Based on the PDF of the acceleration response, the reliability analysis of the suspended cushioning packaging is carried out, and a solution to the inverse problem of its optimal design is proposed. The results show that the proposed method can accurately predict the PDF of the acceleration response of the suspended cushioning packaging, and the applicable range of the method can be obtained from the equivalent stiffness formula. Appropriately reducing the system stiffness, increasing the damping ratio, and decreasing the spring length can effectively reduce the acceleration response intensity of the product packaging. As the vibration time increases and the brittleness value of the packaged product decreases, the first-passage failure probability of the suspended cushioning packaging increases. The cushioning packaging can be optimized based on the approximate solution of the response of the suspended cushioning packaging and the principle of response energy minimization.