An electrically tunable liquid crystal grating with two-layer driving staggered electrodes was presented,which could replace the traditional slit liquid crystal grating to achieve a parallax barrier. This grating avoids the blank area between the single-layer electrodes and expands the control area. Besides,it has the advantage of fast switching time to supply the loss of informations caused by space division. A full resolution autostereoscopic display was realized by combining space division and time division. Indium-Tin Oxide (ITO) -SiO2-Al-doped ZnO(AZO)driving electrodes with two-layer staggered structure were prepared on the glass substrate using lithography and vacuum coating technology. Liquid crystal was sandwitched between the substrate with driving electrodes and a substrate with common electrodes to form a cell with a thickness of 5 μm. The optical images show that ITO electrodes and AZO electrodes with the width of 275.8 μm are parallelly interdigitated and isolated by SiO2 insulation layer on the glass substrate. A controllabel full resolution liquid crystal was achieved by switching shading areas and transparent areas in the role of driving voltage.