Abstract: An effective numerical method called nonlinear item compensation method (NICM) based on precise computation method and state transfer method is proposed.NICM is a development of the precise computation method which is a high precision algorithm for transient analysis,and can be used for numerical computation of nonlinear transient temperature distribution of spacecraft's solar array.Approximating to analytic solution even though the time step is considerable large is the most significant advantage of NICM.The numerical examples obtained by NICM also show the high convergence and stability of the present method.