A 3D SPIHT algorithm is applied to hyperspectral image compression.The band is separated into several groups to obtain the processing unit,and then 3D wavelet transfor(WT) is applied to each group to eliminate both spatial and spectral redundancies.Finally,the 3D SPIHT algorithm is used to encode the wavelet coefficients.Both integer and float wavelets are used for lossless and lossy compression respectively.The experimental results on AVIRIS and OMIS indicate that the average PSNR by proposed algorithm can be 0.91 dB and 1.38 dB higher than that of general 3D WT coding method for lossy compression,but 0.308 bit/pixel and 0.159 bit/pixel higher than the predictive coding technique for lossless compression,respectively.The proposed algorithm has better lossy coding performance,but lossless coding performance is inferior to that of predictive coding technique.