This　paper　proposes　a　novel　wavelet　filtering　method　by　spatial　correlation　thresholding　based　on　undecimated　wavelet　transform　(UDWT).　We　multiply　two　adjacent　wavelet　scales　with　some　relative　translations　to　line　up　the　edges.　A　new　threshold　is　presented　applying　to　spatial　correlation　in　our　proposed　scheme.　Finally,　we　extract　edge　information　from　larger　scale　to　smaller　one　only　at　the　positions　which　have　been　extracted　as　edges.　The　simulation　results　indicate　that　our　algorithm　can　keep　edges　well　while　removing　noise　greatly.　It　is　an　effective　noise　filtration　technique　especially　for　the　signals　which　have　abundant　edge　and　detail　information.　Furthermore,　it　can　be　easily　extended　to　edge　detection,　fault　diagnosis,　image　enhancement　and　other　applications.