Abstract: In this paper,a continuation of paper〔1〕,the aerial combat problem is discussed and the idea of "partial capture region on finite time interval",is recommendedas a method to solve the problem.Thus,instead of considering the whole statespace as in the present theory of differential games,the aerial combat problem maybe analysed in a partial region and on an appropriate time interval which are moremeaningful in practice.The numerical calculations are carried out on a microcomputer.The capture regions,the dynamic processes and the effects of the altering para-meters are discussed.