The invention provides a liquid crystal lens grating and a stereo display device thereof. The liquid crystal lens grating comprises a first substrate, a second substrate, a third substrate, a first liquid crystal layer, a second liquid crystal layer, a first electrode, a second electrode, a third electrode and a fourth electrode, wherein the first substrate, the second substrate and the third substrate are overlapped in sequence; the first liquid crystal layer is arranged between the first substrate and the second substrate; the second liquid crystal layer is arranged between the second substrate and the third substrate; the first electrode and the second electrode are arranged between the first substrate and the second substrate, respectively arranged at the two sides of the first liquid crystal layer, and used for providing driving voltage for the first liquid crystal layer; and the third electrode and the fourth electrode are arranged between the second substrate and the third substrate, respectively arranged at the two sides of the second liquid crystal layer, and used for providing driving voltage for the second liquid crystal layer. Based on the technical scheme of the invention, the response speed of liquid crystal molecules can be improved, and full-resolution stereo display can be realized better.