A multi-spectral demosaicking algorithm (DMA) based on compressive sensing (CS) is proposed.First,the process of obtaining mosaic image by multi-spectral filter array (MSFA) is equivalent to the process of sensing matrix sampling in the CS theory,and making use of sparse representa tion of multi-spectral images is obtained in 3dimensional spatialand spectral domain in spatial and spectral correlation multi-spectral image.Finally,the CS signal reconstruction alg orithm is used to solve the optimization problem of the 0norm,and the sparse representation coefficients o f the multi-spectral images are obtained.The evaluation data for the algorithm performance and the simulation images of MATLAB are given.Experimental results s how that the peak signal to noise ratio (PSNR) of algorithm in this paper is higher than those of the Kronecker CS and group-spar se (GS) algorithms, and the proposed algorithm effectively reduces the in zipper effect above two al gorithms and improves the image visual effect.