Abstract: Based on analyzing the coefficient characteristic of inter wavelet transformed, the 3D SPECK compression of multispectral image is put forward. In the method the zero-tree coding of compression of wavelet transform is extended to the compression of multispectral image. Integer wavelet transform is applied to reduce spatial decorrelation, and DCT is applied to reduce the inter-band correlation. 3D SPECK is used in processing transformed wavelet coefficient. The results of experiment indicate that hardware is easier to realize, the time of coding and decoding is less, and the requirement of EMS memory is fewer.