Using　the　spatial　and　spectral　correlation　within　the　hyperspectral　images,　a　lossless　compression　algorithm　is　presented.　Band　grouping　is　used　to　divide　images　into　different　groups.　Different　hybrid　integer　transform　based　on　spatial/spectral　correlation　is　taken　for　each　group　and　to　achieve　progressive　bit-stream,　coefficients　are　reorganized　to　obtain　the　same　structure　as　wavelet　transformation.　Transformation　coefficients　are　then　coded　by　bit-plane-based　3D-SPIHT　coding　algorithm.　Experimental　results　show　that　the　proposed　method　can　remove　the　spatial　and　spectral　redundancy　more　efficiently　than　JPEG-LS,　JPEG2000　and　the　algorithms　based　on　integer　3D-DCT　or　3D-DWT.　With　band　grouping　and　progressive　bit-stream,　the　proposed　method　can　achieve　better　error　resilient　performance.