Abstract: The thermodynamic real-time mathematic model of aero-engine starting process was established.It is based on component characteristics and it is part of the full-state thermodynamic mathematic model.The influence on starting process caused by temperature rise was studied with the component characteristics change at low part power condition,the boundary condition and the atmospheric condition constraints taking into account.The simulation results are presented,and they prove that the mathematic model can simulate the engine starting process satisfactorily.