Holographic stereogram technology is a three-dimensional display technology that can be used with the naked eye. Several holographic stereogram products have been successfully commercialized and have realized amazing visual experiences. However, in practical applications, several problems remain, such as an inadequate field of view (FOV) in the reconstructed image applications, excessive number of sampled images required to print a high-quality holographic stereogram, and lack of simulation results used for comparison with experimental results. In recent years, several research groups have conducted in-depth research on these issues. This study introduces the two most widely used holographic stereogram techniques, and then summarizes recent progresses in enlarging the FOV of a holographic stereogram, reducing the number of required samples,and numerical reconstruction of holographic stereograms.