Abstract: A optimization method based on Kriging surrogate model is developed in order to reduce the number of evaluations of global optimum algorithms such as PSO.A double-layer particle swarm optimization arithmetic based on the Kriging model which enhanced precision by using a modified QPSO to compute the global optimums of correlation model parameters.Reynolds-Averaged Navier-Stokes flow solver and nonlinear weighted sum of multi-objective method is used to optimize transonic wing with multi-objective and multi-restriction.The results demonstrated that the proposed approach achieves significant drag and moment reduction with ideal pressure distributions over the wing and can be used in an engineering environment.