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Introducing the Finite difference time domain method and perfect match layer absorbing boundary condition,the electro-tunable localized modes in two dimensional nematic-liquid-crystal photonic crystal with a point defect (IPD2D-NLCPC) were investigated by numerically simulation.The nemerical simulations showed as follow: as the direction of the external electrical field varies,the band gap in the IPD2D-LCPC changes respectively; when the wavelength in the band gap is the wavelength of the sine source wave,the most of optical field energy is localized in the point defect; Therefore manipulating the direction of the external electrical field causes the change of the localized mode.