Plasma photonic crystals are artificially periodic structures, which are compose d of plasmas and dielectric structures (or vacuum). In this paper, the piecewise linear current density recursive convolution (PLCDRC) finite-difference time-do main (FDTD) method is applied to study the plasma photonic crystals and those co ntaining defects. In time-domain, the electromagnetic(EM) propagation process an d reflection/transmission electric field of Gauss pulses passing through the pla sma photonic crystals are investigated. In frequency-domain, the reflection and transmission coefficients of the pulses through the two kinds of crystals are co mputed. The results illustrate that the plasma photonic crystals mostly reflect for the EM wave of frequencies less than the plasma frequency, and mostly transm it for EM wave of frequencies higher than the plasma frequency. In high frequenc y domain, the plasma photonic crystals have photonic band gaps, which is analogo us to the conventional photonic crystals.