According to the technical characteristics of new naval gun weapons and advanced guided ammunition, the idea of intercepting aerial targets by using guided projectile is proposed, which combines the advantages of ordinary ammunition and air defense missile, and the mathematical model of killing airspace of air defense guided projectile is constructed.According to the characteristics of the exterior ballistic curve of air defense guided projectile, the exterior ballistic curve is modeled.Based on the exterior ballistic model, the factors that influence the killing zone and the launch zone are analyzed, and the mathematical models of the killing zone and the launch zone are established.The numerical model of vertical killing zone under zero route shortcut is constructed, and an algorithm that can quickly generate the numerical model of vertical killing zone under different lengths of route shortcuts is designed.The numerical simulation analysis of a specific example is conducted.The simulation results show that with the increase of the length of the target route shortcut, the range of the vertical killing zone of the projectile decreases gradually.The constructed killing airspace model of air defense guided projectile is reasonable and effective, which has great value for the operational application of air defense guided projectile.