Some statistical properties of the meteorological satellite cloud image (MSCI) such as image gray distribution, information entropy, redundancy, two-dimentional Fourier spectrum, one-and two-dimentional autocorrelation functions of the original MSCI and the gray distribution, the information entropy etc, in differential domain have been studied in this paper. It shows that the gray distribution of MSCI is not completely random but is somewhat spatially correlative, whose spatial spectrum energy is mainly distributed in the low frequency area and the spatial correlation is rather looser in the differential domain but the redundancy still exists, thus producing a compression encoding method for MSCI, which could keep the information from losing.