3D SPECK compression of multispectral remote sensing image is presented, which is based on integer wavelet transform (IWT) by analyzing the characteristics of transformed wavelet coefficient. By the method the zero-tree coding of the compression of wavelet transform is extended to the compression of multispectral remote sensing image. Integer wavelet transform is applied to reduce the spatial decorrelation, and DCT is applied to reduce the inter-band correlation. 3D SPECK is used in processing the 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 lower.