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In this paper, we propose a hyperspectral image lossless compression coder based on three-dimensional set partitioned embedded zero block coding (3D SPEZBC) algorithm. This coder adopts the 3D integer wavelet packet transform to decorrelate and the set-based partitioning zero block coding to process bitplane coding. It not only provides the same excellent coding performances as the 3D EZBC algorithm, but also can save considerable memory requirements against 3D EZBC. Moreover, experimental results show that 3D SPEZBC outperforms 3D SPECK, 3D SPIHT, AT-3D SPIHT and JPEG2000-MC in the lossless compression performances for hyperspectral images.