This　paper　presents　a　new　semi-analytical　approach　for　the　nonlinear　vibration　analysis　of　nonlinear　elasticity　beam.　The　time　domain　response　and　frequency　response　of　a　nonlinear　elasticity　beam＇s　free　vibration　will　be　obtained,　Considering　the　efforts　of　the　static　deformation　on　the　dynamic　characteristics.　The　method　makes　use　of　Linz　Ted-Poincare´　perturbation　technique　to　transform　the　nonlinear　governing　equations　into　a　linear　differential　equation　system　,whose　solutions　are　then　sought　through　the　use　of　differential　quadrature　approximation　in　space　domain　and　an　analytical　series　expansion　in　time　domain.　Validation　of　present　method　is　conducted　in　numerical　examples　through　direct　comparisons　with　existing　solution,　showing　that　the　proposed　semi-analytical　method　has　excellent　convergence　and　can　give　very　accurate　results　at　a　long　time　interval.　This　method　successfully　avoids　the　accumulation　of　errors　and　has　good　precision.　which　makes　it　possible　to　the　solution　of　the　nonlinear　dynamic　problems.　©　2011　IEEE.