The spectral correlation and spatial correlation of images from interferential imaging spectrometer are analyzed and calculated.The 3D-DPCM lossless compression scheme is proposed.This scheme includes three aspects：Spectral DPCM is predicted，then residual images are predicted by using intra-DPCM，finally，variable-length coding is carried out for differential coefficient.The experimental data shows that the algorithm can carry out lossless compression，the average of compression ratio is up to 1.486.It is 3.3% higher than Integer Wavelet Transform of two dimensions.This algorithm only uses addition-subtration and shifts to complete data compression.Implementation with hardware is easier.