Abstract: It is a challenge problem to determine the optimal scheme of weapon and target assignment in joint fire strike. To solving this problem, a two objective optimization model, which maximize the benefit and minimize capital expenditure, is established. In addition, the optimal strike scheme of target determined in potential targets is consideration. According the preference, the two objective optimization model is translation into the global constraint optimization model by using weighted sum method. A genetic algorithm, which has high efficient crossover and mutation operators, is designed. Simulation experimental results show that the proposed algorithm can obtain the better schemes than the compared algorithms.