The present disclosure provides a liquid crystal grating, a method for driving the liquid crystal grating, and a display device. In the embodiments of the present disclosure, by applying the second voltage and the third voltage that are mutually inverted with respect to the common electrode voltage, the situation in which a single phase voltage is applied to all grating electrodes corresponding to the power-on optical state can be avoided. Due to the capacitance of liquid crystal, the influence of the second voltage on the common electrode voltage and the influence of the third voltage on the common electrode voltage cancel each other out. Therefore, the fluctuation of the common electrode voltage caused by the capacitance of liquid crystal can be effectively reduced or eliminated, thereby avoiding the failure of the liquid crystal grating.