Considering the problem of optimal acceleration control of aircraft engine, the subsection optimal acceleration control method using fuzzy switching based on a cloud model is proposed. The acceleration process is divided into three phases, optimal objective functions and constraints are different in each phase. The optimal acceleration control law is obtained using the SQP algorithm with adjusted objective functions and constraints to improve the ability of engine acceleration. Considering the significant jump of control parameters and the exceeding limit of aircraft engine state parameters problem during the shift of different phase on the acceleration process, the method of fuzzy switching controller based on a cloud model is designed. Compared with the normal SQP acceleration control law and the subsection one based on direct switching, the simulation results show that the proposed method not only is the most effective control law but also can ensure the aircraft engine stable.