Introducing the finite difference time domain method and perfect match layer absorbing boundary condition, the electro-tunable localized modes in two-dimensional (2D) nematic-liquid-crystal photonic crystal with a point defect (1PD2D-NLCPC) are investigated by numerical simulation. The numerical simulations show that as the direction of the external electrical field varies, the band gap in the 1PD2D-LCPC changes; 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.