Display device and driving method thereof

A display device and a driving method thereof relate to the technical field of display. The display device includes: a display panel; each grating panel comprises a dielectric layer and a plurality of driving structures arranged on at least one side of the dielectric layer; the grating panel comprises a plurality of grating units, each grating unit comprises at least two driving structures, the driving structures are used for receiving driving signals and forming electric fields under the action of the driving signals, and the electric fields are used for driving the dielectric layers at the corresponding positions to transmit light or shield light, so that the grating units form light transmitting units and light shielding units; the at least two grating panels comprise a first grating panel and a second grating panel, the first grating panel and the second grating panel are arranged on the same side or two opposite sides of the display panel in a stacked mode, and a plurality of grating units in the first grating panel and a plurality of grating units in the second grating panel are arranged in the first direction.