Abstract: The current fixture design for sheet metal components needs a great deal of finite element analysis,which limits fixture design efficiency and quality.This paper proposes a two-stage method for fixture locating scheme design to reduce the times of finite element analysis.Firstly,positions of three locating points are optimized with particle swarm optimization based on rigid model.Then other points are optimized by creating a response surface model(RSM) based on radial basis function(RBF).Through the case of rear bracket plate demonstrating fixture locating scheme design of Two-Stage method,the results show it has good simulation results and higher prediction accuracy.