Based on the component-level model of turbofan engine， a modeling method for turbofan engine with nonlinear and time-varying characteristics is investigated. A polynomial nonlinear system with typical operating points is obtained by the method of system identification and taking the high pressure rotor speed as the scheduling variable. And based on the regression algorithm， a nonlinear parameter-varying model is established by the gain scheduling idea and taking the height and Mach number as the scheduling variable. The simulation results show that the error for nonlinear system and the component model established by the method is less than 0.05% in a single speed state， and the error for the nonlinear parameter-varying model and the component model is less than 1% in large envelope， which proves the feasibility and effectiveness of the proposed method.