By means of the software Chemkin, the spontaneous combustion processes of different concentration mixed gas of CH4 and air were simulated, which was induced by shock waves in different velocity. It can be concluded when the shock velocity is higher than 1300 m/s, the pressure is higher than 11.004 MPa, CH4 combustion can be obtained, which is basically agreed with the experiment. It is also concluded that the greater the initial pressure, the rapider the shock waves velocity, and the shorter the ignition time, which shows that the CH4 combustion correspondingly easily happen. When the diameter of rear pipes is greater than 3.8 mm, it influences the CH4 combustion little. However, the CH4 combustion is easy to extinguish when the the diameter of rear pipes is too small. The simulation results show that CH4 combustion could happen induced by shock wave.