This paper describes the auto-stereoscopic display which can reconstruct more reality and viewer friendly 3-D image by increasing the number of parallaxes and giving motion parallax horizontally. It is difficult to increase number of parallaxes to give motion parallax to the 3-D image without reducing the resolution, because the resolution of display device is insufficient. The magnification and the image formation position can be selected independently in horizontal direction and the vertical direction by projecting between the display device and the 3-D image with the anamorphic optics. The anamorphic optics is an optics system with different magnification in horizontal direction and the vertical direction. It consists of the combination of cylindrical lenses with different focal length. By using this optics, even if we use a dynamic display such as liquid crystal display (LCD), it is possible to display the realistic 3-D image having motion parallax. Motion parallax is obtained by assuming width of the single parallax at the viewing position to be about the same size as the pupil diameter of viewer. In addition, because the focus depth of the 3-D image is deep in this method, conflict of accommodation and convergence is small, and natural 3-D image can be displayed.