Abstract: The control of aircraft engine acceleration is the focus in the field of aeroengine control.Sequential Quadratic Programming(SQP)based on nonlinear programming is used to control turbofan engine acceleration.Meanwhile the Linear Weighted Sum of multi object optimization has been introduced to attain double variable control in turbofan engine acceleration process.In the study every constraint of the acceleration process has been thoroughly considered.The simulation results show that the application of multi object optimization to turbofan engine acceleration control is feasible.It can bring the engine potentialities into full play and improve the acceleration performance significantly.