We propose the omnidirectional 3D display system which displays directly touchable 3D images. The display surface of the proposed display is cylindrical, and displayed 3D images are observed around the display surface. The proposed system is composed of multiple basic display units. Each basic display unit consists of an LCD, a microlens array (or an HOE), and a relay optics. The display surface of the proposed system is the virtual screen which is composed of multiple light focusing points (3D pixels) equally spaced in a cylindrical shape. Therefore, the display surface is not the physical obstruction when observers touch 3D images directly. We constructed the prototype system to verify the effectiveness of the proposed system. The virtual cylindrical display surface was composed of 24 basic display units. The angle of view of each 3D pixel which forms the virtual cylindrical display surface was 15°, and each 3D pixel irradiated 36 light rays at 0.4° intervals. The diameter and the height of the virtual cylindrical display surface were 5cm both. A displayed 3D images was directly touchable and was observed from 360° directions. This paper describes the principle of the proposed omnidirectional 3D display, and also describes the experimental results. © 2016, Society for Imaging Science and Technology (IS&T).