Model predictive control(MPC) is a model optimal control algorithm that is widely used in industrial automation, automotive systems and power systems. This article presents an MPC control algorithm designed for the output feedback control of variable cycle engine(VCE), introducing an upper limit on shaft speed and turbine inlet temperature as constraints. The control algorithm was implemented on a discretized linear model of a variable cycle engine for simulation. And the simulation results demonstrate a notable decrease in the overshoot of the state variables.