If the target of the anti-radiation horning missile is the search radar of fighting ship, it will have the advantages of tactical stealth and low cost. The main topic of this research project is the study of the guidance techniques of intermittent anti-radiation homing on moving targets. Since the seeker can measure the arriving angle of source target in a sampling form each 2~4 second, the project will use the gray theorem to predicate the LOS angle of the target. Finally the simulation results verify that the developed angle-prediction-based guidance system can effectively track the moving target.