To solve the problem that the random optimization method costs huge calculation and the best response method tends to get a weak local optimization,an effective optimization algorithm is built in this paper,which use best expected improvement(EI) strategy to balance response value and response precision.Tests of airfoil shape optimization indicate that the drag coefficient is reduced by 22% and the calculation time is reduced by 68% comparing with that of the particle swarm optimization,which shows that this effective optimization algorithm is realizable and effective.