Abstract: The problem of modeling the nonlinear dynamic respondence of aeroengine was studied based on the volterra-laguerre expansion.The structure of Volterra-Laguerre expansion was described and the identification arithmetic of the volterra-laguerre progression model of aeroengine was proposed using the theory of laguerre progression.The comparison between the result of volterra model,the volterra-laguerre expansion and the true shows that the volterra-laguerre expansion can better describe the dynamic process from low to high rotating speed of aeroengine with less parameters that should be identified,and the dynamic simulation error of high and low rotors is less than 1% and the error of temperature exit of high-pressure turbine is less than 3 ℃.The model is suitable for aeroengine and control system simulation.