Abstract: Aiming at a three-player pursuit-evasion game problem of missile attacking the target with defensive missile protection and maneuvering evasion ability, the three-player differential game model of attack missile, defensive missile and manueverability ability limited target is constructed. The display strategy method is proposed to solve the three-player qualitative differential game. The necessary conditions for successful penetration and the optimal penetration strategy of missile are given. The research results show that when the target manueverability is limited, the attack missile has wider penetration conditions. This is consistent with the actual situation and the effectiveness of the method is proved.