Holographic stereograms can be generated through optical printing and computer-generated methods, boasting uncomplicated production and authentic visual effects, which are anticipated to find applications in extensive holographic displays, augmented reality (AR), and virtual reality (VR). This paper gives an overview of the development of printing methods and the modernization of printing devices for holographic stereogram printing, as well as the iteration of computing methods and the acceleration of computational speeds in computational holographic stereograms. Finally, existing challenges are discussed and the future development of holographic stereograms is outlined.