In the interception missile IR seeker image tracking stage, when the interceptor close to the goal, the dynamic characteristics are of great importance to the guidance precision, in view of this situation, this paper takes into account the ballistic missile boost phase intercept the interceptor terminal control and guidance, based on the simplified model of composite control system, puts forward a kind of the Los rate convergence in finite time evolution of anti structure guidance law, the guidance method can realize zero Miss interceptor, finally the simulation results verify the validity of the design guidance method.