In recent years, with growing interests to Photonic Crystals (PhCs) and their applications, many researchers have studied PhCs. 2-Dimensional PhC laser is one of the interesting research topics due to its strong light confinement in a small wavelength-scale volume. Liquid Crystal (LC) infiltrated 2D PhC laser has also been investigated for the laser wavelength tuning, yet its theoretical study seems insufficient. Thus, in this research, we developed 3D Finite-Difference Time-Domain (FDTD) program which can simulate the light propagation in LCs, and analyzed the characteristics of LC infiltrated 2D PhC laser. In several characteristic PhC structures, the lasing wavelength shift of a single mode, the degeneracy splitting, the lasing mode change and the quality factor (Q-factor) change are found as the arrangement of LCs changes. Moreover, by properly designing the defect, we can expect the intrinsic polarization of the lasing mode.