Abstract: Considering the influence of the first impulse's position, the model of rendezvo us between two spacecrafts using two impulses is derived. Based on that, optimal rendezvous object considering of fuel and time is constructed, and GA (Genetic Algorithms) is designed. Simulation results show that the value of performance index, considering the influence of the first impulse's position, is better than that if not considering, and prove the design fo GA is successful.