To realize three-dimensional(3D) images with low crosstalk, full resolution, and multi-view, a 3D display based on a multi-directional backlight is proposed. An eye-tracker in the system is used to acquire the position of human eyes and feedback to multi-directional backlight and the liquid crystal display (LCD) panel. Directional parallax images are time-sequentially provided to each eye by simultaneously working of multi-directional backlight and LCD screen. Viewers can achieve 3D perception based on the persistence of vision. Multi-directional backlight is mainly realized by a series of cylindrical waves and a holographic optical element (HOE). Different cylindrical waves produce diffracted beams in different directions through HOE. Double-LED type and diffuser type are proposed to improve the uniformity of the proposed system. Experimental results indicate that this system can provide full resolution 3D images in 25 viewing zones, and the uniformity is improved to 80%, average crosstalk is as low as 2.75%, which satisfy the demands for crosstalk, resolution, uniformity in the 3D display system, and the visual experience of viewers is greatly improved.