The work aims to build a three-dimensional model of the stepping indexing system of conical offset printer and conduct modal analysis and harmonic response analysis on the stepping indexing system. The three-dimensional model of globoidal indexing cam mechanism was built according to the principle of conjugation surface. The finite element analysis on the stepping indexing system was carried out by Ansys Workbench. The three-dimensional model of stepping indexing system was built by Pro/E, and the modeling steps of globoidal indexing cam mechanism were introduced in detail. The first six-order vibration model and the inherent frequency were obtained through modal analysis, and the amplitude-frequency response curve of stepping indexing system under impact load was obtained by the harmonic response analysis. The foundation for further dynamic optimum design of the stepping indexing system was provided. With reliable working and good dynamic characteristics, the stepping indexing system of conical offset printer can effectively ensure the printing quality.