A fractional order backstepping control strategy is proposed to enhance the performance of the linear synchronous motor suspension system for magnetic levitation platform. Based on the operating mechanism of the magnetic levitation linear synchronous motor (MLLSM) suspension system, its mathematical model and state space equation are established. Aiming at the strong nonlinearity of the MLLSM suspension system, input output feedback linearization is performed through nonlinear coordinate mapping. And to improve the convergence speed and control accuracy of the suspension system, fractional order theory is introduced to construct fractional order virtual stability functions. Fractional order backstepping controller is designed and Lyapunov function is constructed to prove the stability of the system. Simulation results show that the fractional order backstepping control can improve the response speed of the suspension system and effectively suppress the impact of uncertain disturbances on the suspension system.