A new method to record a color holographic stereogram and its application in the synthesis of a conical holographic stereogram are presented. The method consists in recording three rainbow holograms on each slit hologram component of the holographic stereogram. To obtain the three images reconstructed on the same place, the position of the projection screen is changed when recording the three rainbow holograms. The difference of the projected image's size coming from the movement of the screen is corrected by introducing a cylindrical lens in the projection system. Results of the method, feasibility, and distortion of the image are discussed.