A　nonlinear　redundant　lifting　wavelet　packet　algorithm　was　put　forward　in　this　study.　For　the　node　signals　to　be　decomposed　in　different　layers,　predicting　operators　and　updating　operators　with　different　orders　of　vanishing　moments　were　chosen　to　take　norm　l　p　of　the　scale　coefficient　and　wavelet　coefficient　acquired　from　decomposition,　the　predicting　operator　and　updating　operator　corresponding　to　the　minimal　norm　value　were　used　as　the　optimal　operators　to　match　the　information　characteristics　of　a　node.　With　the　problems　of　frequency　alias　and　band　interlacing　in　the　analysis　of　redundant　lifting　wavelet　packet　being　investigated,　an　improved　algorithm　for　decomposition　and　node　single-branch　reconstruction　was　put　forward.　The　normalized　energy　of　the　bottommost　decomposition　node　coefficient　was　calculated,　and　the　node　signals　with　the　maximal　energy　were　extracted　for　demodulation.　The　roller　bearing　faults　were　detected　successfully　with　the　improved　analysis　on　nonlinear　redundant　lifting　wavelet　packet　being　applied　to　the　fault　diagnosis　of　the　roller　bearings　of　the　finishing　mills　in　a　plant.　This　application　proved　the　validity　and　practicality　of　this　method.