The methematical method of calculating the optimum explosive position of missile is put forwavd on condition of the meeting of the given missile and target.The model is applied to the case of the meeting of the arbitrary missile and target,and also to the arbitrary distribution of the static muzzle velocity of warhead wreckage.So it can be used in the simulation study of the cooperation between the fuze and warhead of the missile.and the optimization of parameters of fuze and warhead.