Abstract: An application of genetic algorithms in the optimum design of the strategy of antimissile’s penetration was studied. The integrated process of antimissile’s penetration was divided into several stages; the optimum design of the integrated probability of penetration was transferred into the optimum design of the conditional probability of penetration of each stage. By doing so, the complex process was simplified. The antimissle must maneuver to improve the probability of penetration. The parameters of maneuver of each stage vary within a wide range and influence the probability of penetration. Genetic algorithm was choosen to do the optimum design of the parameters of maneuver. The genetic algorithm was applied in each stage of the penetration, the best group of the parameters which results in the highest probability of each stage was figured out. And then the group of maneuver parameters that lead to the highest probability of the integrated process of antimissile’s penetration was obtained.