The Laplace Transfer-current density convolution (LT-JEC) finite difference time-domain (FDTD) method is used to deal with the complex magnetized plasma. By using the periodic boundary condition, the abstract model transfers into the practical model which can be calculated by FDTD. The plasma photonic crystals consist of the media embedding in the plasma .The algorithm is applied to calculate their power reflection and transmission coefficients of the different plasma parameters, and some useful conclusions are obtained. This work provides theory basis to make the practical plasma photonic crystals.