Liquid crystal grating, display device and control method thereof

The present disclosure relates to a liquid crystal grating, a display device, and a control method thereof, and belongs to the technical field of display. The liquid crystal grating comprises a sealing cavity and a first polarizing film disposed on a light emitting side of the sealing cavity; the sealing cavity comprises two parallel substrates and a liquid crystal layer disposed between the two substrates; the two substrates comprise a first substrate and a second substrate, wherein a plurality of first strip electrodes, which are distributed along a first direction array, and a plurality ofsecond strip electrodes, which are distributed along a second direction array, are orderly arranged on one surface of the first substrate close to the second substrate; an insulating layer is arrangedbetween the first strip electrode and the second strip electrode; and a transparent electrode layer is arranged on one surface of the second substrate close to the first substrate. By controlling thevoltage loaded on the firs