Strategies and methods of air combat decision-making are analyzed in this paper,such as differential game,influence diagram,expert system,neural netw ork,genetic algorithms and rolling horizon control method. Centered on air combat advantage function and decision modeling,the methods in fighter air combat decision-making are expounded and the advantages and disadvantages are exemplified. The development tendency of fighter air combat decision-making is predicted based on the analysis of typical methods of air combat decision-making.