Transmission spectral properties of one-dimensional multilayer photonic crystal infiltrated with a parallel nematic liquid crystal are investigated. The range of photonic band gap is 518.5~582.0 nm when natural light is incident vertically to the glass substrate and paired transmission peaks are observed in photonic band gap. One of the paired transmission peaks disappears in the case of adding a polarizer and making polarization direction parallel or perpendicular to rubbing direction with vertical incidence of polarized light. For an angle of 45° between polarization direction and rubbing direction, paired transmission still appears in photonic band gap. Optical wave has two eigenmodes (e- and o-mode) because of the anisotropy of liquid crystal layer. When the polarization direction of incident light is parallel to rubbing direction the optical wave is in e-mode, and when perpendicular to rubbing direction it is in o-mode. For the case of polarization direction and rubbing direction at an angle of 45°, two modes coexist.