Seven types of HMX samples were tested at their critical initiation conditions and corresponding critical initiation pressures of shockwave were calculated to analyze the influence of the content, particle size and appearance of HMX on the critical initiation pressure of composite propellant. The results show that the critical initiation pressures are 15.40, 7.99 GPa and 7.55 GPa at the HMX content of 5%, 10% and 15%, respectively; the critical initiation pressures at a fixed amount of HMX are 7.99, 7.99, 9.42-15.40 GPa and 9.04-15.40 GPa at various medium particle sizes of 5.432, 6.482, 9.121 μm and 136.800 μm, respectively. The critical initiation pressure is 7.99 GPa when HMX shows a large particle distribution. It shows that the critical initiation pressure decreases with the increase of HMX content in a certain range; the critical initiation pressure increases with the increase of the medium particle size of HMX; and spherical-like structure of the particle has a great influence on the critical initiation pressure.