By expanding the power series solution of differential equations and using the semiqroups theory of Linear Operators,we studied the integration method of nonlinear dynamic equations and obtained the so-called Lie series method,whose concrete implementation was discussed.The Lie series method can be used to construct high order explicit integrators,so it was used to solve the generalized Hamilton system and it can preserve the canonical property of the exact solution of the generalizd Hamilton system.Numerical examples show the method's validity and effectiveness.