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Exo-atmospheric Interceptor with pulse thruster was researched. Firstly, considering with the measurement noise of rotation rate of LOS (line of sight) and error of estimating relative distance between missile and target, the LOS rate was predicted by the state, control input, measurement noise of LOS and estimation error of relative distance on current moment. Secondly, the On-Off guidance law was designed on the base of predictive control, optimization problem of the On-Off guidance law was given, and On-Off curve was derived. Thirdly, stabilization of the guidance system with On-Off guidance law was analyzed by using of Lyapunov method. Numerical simulation was performed to validate the proposed method given in this paper lastly.