Computer-generated hologram (CGH) dynamic three-dimensional (3D) display is one of the hot areas in optical science and application. The research development of the CGH dynamic 3D display is reviewed. The computational complexities, relation between reconstructed image size and viewing angle, and the influence of the main factors on quality of reconstructed image are introduced. The methods of reconstructing 3D image with high quality, big size and wide viewing angle are analyzed. Prospect of holographic dynamic 3D display is also given.