In order to improve the compression ratio of lossless compression of hyperspectral images,a lossless compression method of hyperspectral images was proposed based on multi-band images and lookup table prediction correction.First,LAIS was calculated by using images from three previous bands of current bands;and then the lookup table prediction value was corrected two times;finally the prediction residual error was calculated,and the data were encoded with adaptive arithmetic coding method.Theoretical analysis and experimental verification show that,compared with LAIS-LUT,the compression ratio of the proposed method is increased by 0.09~0.34 in different areas and bands of Moffett Field image from NASA’s AVIRIS images.