A multi-objective aerodynamic optimization method is developed using genetic algorithm and duct-flow code that employs streamline curvature approach.Velocity circulations at the trailing edges of each blade-row are optimized for overall maximization of total pressure ratio and isentropic efficiency.The test indicates that the optimization algorithms can auto-search for optimal result globally and efficiently.A five-stage high pressure compressor is redesigned by using this method and the performance is enhanced greatly.