The work aims to analyze and obtain the approximate analytic solution for dropping shock of hyperbolic tangent undamped nonlinear packaging system, and figure out the solution for the dropping shock response of hyperbolic tangent nonlinear packaging system under typical working conditions. PEM was used to analyze the dropping shock response of the system so as to obtain the first-order approximate solution for shock response. The accurate maximum displacement of undamped system was obtained with energy method of packaging dynamics and the approximate solution was corrected. Within an adequate accuracy range, the maximum displacement response, the maximum acceleration response and the system’s response cycle after correction were very close to that obtained by Runge-Kutta method. A new method is provided for approximate analysis of dropping shock response of hyperbolic tangent nonlinear packaging system.