This　paper　proposes　a　fast　multi-channel　colored　noise　reduction　algorithm　based　on　a　statistical　data　fusion　estimation.　Conventional　multi-channel　algorithms　for　colored　noise　reduction　have　a　difficulty　in　noise　covariance　matrix　estimation　and　take　more　computational　time.　The　proposed　algorithm　has　a　much　fast　speed　without　estimation　problem　of　the　noise　covariance　matrix.　Moreover,　the　proposed　algorithm　has　a　good　performance　of　unbiased　estimation　when　the　noisy　speech　signals　come　from　a　same　speech　source.　Simulation　results　confirm　that　the　proposed　algorithm　possesses　colored　noise　reduction　performance　with　a　fast　speed.　©　2012　IEEE.