Aiming at the problems of large mass and weak vibration isolation ability of the welded platform gantry structure de-signed by empirical method,a multi-objective optimization method based on the combination of finite element method,approxi-mate model and genetic algorithm was proposed.Through the statics and modal analysis of the gantry frame,the information of stiffness and strength redundancy was obtained.The mass,the maximum static deformation,the maximum equivalent stress and the first order modal frequency were taken as the performance indexes,and the seven dimensional parameters on the gantry frame were taken as the design variables.The central composite test design was selected to carry out the simulation test of the gantry frame structure with seven factors and five levels.The finite element simulation model of the gantry frame was replaced by an ap-proximate model based on response surface method,and the multi-objective optimization of the gantry frame structure was car-ried out by using genetic algorithm.The results show that after optimization,the weight of the gantry frame is reduced by7.34%,the maximum static deformation is increased by 0.0434mm,the maximum equivalent stress is increased by4.16MPa,the first or-der modal frequency is increased by1.22Hz,avoiding the resonance frequency range,and the vibration isolation ability is im-proved obviously,which can meet the design requirements of the welding platform.