This study analyzed and obtained the approximate analytical solutions for dropping shock response of cubic nonlinear packaging system and improved the accuracy of the solutions and achieved engineering requirements by correction. He′ s parameter-expanding method (PEM) was applied to solve general nonlinear vibration problems. Taking the dropping shock model of cubic nonlinear packaging system as an example, the dropping shock dynamic equations were solved, the algorithm was modified and the first-order approximate solutions were obtained. A novel solution combining PEM with energy method was proposed and the approximation solution was corrected. The results after modification showed that the maximum displacement response, the maximum acceleration response of the system and the period of the response were very similar to those by Runge-Kutta method, with the relative error of < 0.05%. This study provided a new scientific and effective method for the analysis of dropping shock response of nonlinear packaging system.