Holographic stereogram display technology is one of the research focuses in three-dimensional (3D) holographic display. Holographic stereogram is essentially to infinitely approach the true 3D object using a sequence of 2D perspective images. In this paper, several holographic printing methods are summarized firstly, including two-steps transfer hologram printing technique, horizontal parallax only (HPO) stereogram with laser direct writing and holographic elements based full-parallax holographic stereogram method. Also the principles of printing, method of recording, and the various factors that affect the printing quality of the holographic stereogram are discussed and analyzed in detail. Then, after designing the matching relationship between full-parallax holographic stereogram and holographic elements, a new method to print holographic stereogram is proposed. With this method, image distortions can be decreased to improve the printing quality because this method has less impact factors and easier operations in experiment. Finally, it points out the recent development state of holographic stereogram.