The chirped photonic crystal and the apodized photonic crystal are constructed, and the characteristics of them are studied by finite-difference-time-domain (FDTD) method and perfectly matched layer (PML) technology. The different photonic crystal structures with different chirped coefficients, and with different apodized functions are compared. The result shows that the width of the bandgap in chirped photonic crystal is larger than the one of ordinary photonic crystal, and the center frequency of the bandgap is moved to the lower frequency. When the chirp coefficient increases as 0.002 in the range of 0 to 0.01, the width of the band becomes wider and the center frequency of the band is lower. The apodized function has analogic effect to the center frequency and the width of the bandgap.