To further investigate the chattering phenomenon of missile during its sliding in the launch box, the dynamic model of mass-transfer zone with dry-friction characteristics is established, using Stribeck model to simulate friction and damping characteristics between the missile and the rail of launch box, using the negative damping force from the transfer between the static and dynamics friction to excite the chattering phenomenon. Then, through analyzing the stability of motion equation, the critical velocity of forming the chattering phenomenon can be obtained, which comes from the instability of the equilibrium point. At the same time, the phase trajectory of the phase plane is obtained, by using the numerical solution of ordinary differential equations. The results of numerical simulation prove the existence of stable limit cycle in the analytic system, and the self-excited vibration. Through comparing the test curves and simulation curves, the influence of jet-flow of missile, gas flow inside the launch box and chassis vibration of the launching vehicle on unstable periodic motion can be realized. Finally, the engineering method is proposed, which can control the friction and restrain the chattering, and which has great reference value for the launch of missile ground with similar launch mode.