Images obtained by compressive push-broom hyperspectral imaging systems may be affected by serious stripe noise, which will significantly reduce the image quality and affect the subsequent image processing. In this paper, we propose a destriping method via matrix decomposition and sparsity constraints for compressive hyperspectral images (CoHSIs). The original noise-free CoHSI is decomposed into a spectral information matrix and a spatial information matrix. The sparsity of spatial information matrix, the smoothness of spectral information matrix and the sparsity of stripe noise are used to re...