The purpose of this study is to investigate the applicability of multi-stage homotopy perturbation method to shallow arches in order to obtain a semi-analytical solution. For this research purpose, a nonlinear governing equation of the arches was formulated and a homotopy equation was derived using the formulated differential equation. The result of a dynamic analysis on a symmetric mode and an asymmetric one was compared with the classical homotopy perturbation method and the 4th order Runge-Kutta method.