Transmission property of one-dimensional photonic crystal containing left-handed materials is simulated by using precise integration algorithm. Simulation results are also analyzed. Photonic crystal is divided into different sections. The export stiffness matrix of each section is first obtained by using precise integration algorithm, and then each stiffness matrix is assembled. Electric field can be obtained by imposing boundary conditions on the stiffness matrix. The simulation results show that this method is accurate and effective and applicability for the simulation of one-dimensional photonic crystals.