The hologram multiplexing method for the three-dimensional data storage with speckle reference wave is considered. It permits to multiplex holograms by shifting of the speckle wave on the value equal to the its correlation radius. The limit of the number or information units presented by tills type of holographic storage exceeds the same value for the spectral or angular multiplexed holograms. However the system noises Induce it to the regular value. Two different experimental set-ups were tested for the holograms recording: with incident beams (for spatially modulated object wave) and with inclined beams (for the object wave with plane wavefront). It occurred that the number of information units that can be stored in unit volume is larger in the case when both beams possess speckle structures, however the signal-to-noise ratio is also larger in-this case, so the spatial modulation of the object beam does not improve the information capacity. Holograms recording was carried out using volume photosensitive medium: newly developed selfprocessing dichromated gelatin of 0.5 mm thickness, and it was compared with the recording in DuPont photopolymer of 100 micron thickness and Fe:LiNbO3 crystal of 2 mm thickness. The method seems to be very suitable for the laser-disk-memory devices.