Light　passing　through　scattering　medium　will　be　scattered　and　result　in　a　random　speckle　pattern　on　the　focal　plane　of　an　imaging　system.　So　we　cannot　directly　observe　the　spatial　and　multi-spectral　information　of　an　object　behind　the　scattering　medium.　Optical　memory　effect　based　speckle　correlation　imaging　can　realize　the　reconstruction　of　the　object　passing　through　the　scattering　medium.　However,　the　previous　research　mainly　focuses　on　the　reconstruction　of　images　at　a　single　wavelength,　and　the　spectral　information　of　targets　is　easily　dropped　during　the　imaging　process.　In　this　paper,　a　multi-spectral　scattering　imaging　method　using　snapshot　micro-filter　array　multi-spectral　detectors　is　proposed,　and　the　imaging　results　of　objects　passing　through　the　scattering　medium　under　the　wide-spectrum　xenon　light　source　illumination　are　obtained　experimentally.　A　method　of　multi-spectral　information　reconstruction　for　objects　passing　through　the　scattering　medium　based　on　optical　memory　effect　is　proposed,　and　the　detection　imaging　of　multispectral　information　hidden　behind　the　scattering　medium　is　realized.　Since　the　multi-spectral　detectors　provide　low　imaging　quality,　an　image　pre-processing　method　is　proposed　based　on　the　autocorrelation　to　improve　multispectral　imaging　quality　of　penetrating　scattering　media.　©　2022,　Chinese　Lasers　Press.　All　right　reserved.