Embodiments of the present disclosure provide a liquid crystal display and a driving method thereof. In the liquid crystal display, orthographic projections of each of the light shielding structures and a corresponding light source on the lower substrate overlap. Light emitted from each of the light sources is incident into the liquid crystal layer in a collimated manner, and the first electrode and the second electrode are configured to form an electric field in response to voltages applied to the first electrode and the second electrode, so that liquid crystal molecules within an area of the electric field are deflected to form a convex lens structure.