A multi-objective optimization for rest-to-rest maneuvers of flexible spacecraft is presented by using MOEA/D (Multiobjective Evolutionary Algorithm based on Decomposition). The multiobjective control design functions which deal with the minimal maneuver time and fuel consume are developed by using rigid-flexible couple dynamics model of spacecraft. A new MOEA/D approach is introduced for maneuvers problem of flexible spacecraft control system. The simulation results show that the approach can be efficiently realized in design and analysis of flexible spacecraft.