Abstract: Making use of the spectral correlation within the sub-image of hyperspectral images，a new lossless compression of hyperspectral images based on integer wavelet transform and 3D-adaptive prediction is studied in the paper.First，use 5/3 integer wavelet to analyze every band of hyper-spectral images，to the same sub-band of different bands，a new linear predictor is proposed.Neighboring pels are chosen to adaptively estimate predict-coefficient which remove most spatial and spectral redundancy，and then JPEG-LS is used to remove spectral redundancy.Experiments show that the algorithm can compress the data efficiently and work better than other compression algorithm and the algorithm is easy，so it can be easily achieved by hardware.