With the development of world economy and trade, medium business jet are more and more favored by customers. In order to further improve the general aerodynamic performance of high-speed turbofan business jet, the optimization methods based on the full potential equation (TRANAIR), sequential quadratic programming （SQP）and free form deformation （FFD）tecnology of class function/shape function transformation（CST）are used to carry out the multi-point optimization study for the wing of a medium business jet. The results show that the drag coefficient of the optimized wing is reduced obviously, and the drag divergence characteristic has been significantly improved. The optimization method effectively guide the wing aerodynamic shape to change with better aerodynamic performances.