NSGA-Ⅱwas used to do optimization design for basic parameters of a general scroll compressor, which included vortex height of dynamic and static scrolls,spindle rotation of scroll disk,involute angle of scroll profile,radius of scroll profile,and come to the result that gas force that scroll disk-received come up to optimal, the gas force included radial gas force, tangential gas force, overturning torque, rotation torque, energy efficiency ratio. Genetic algorithm method,mathematic model,mathematical model based on genetic algorithms,program flow chart,multi-objective optimization results of optimization design were presented. Compared with other optimization methods, NSGA-Ⅱ can solve the multiple objective nonlinear optimization problems better. Finally, the optimized data was used to verify the validity of the method.