Research　on　traveling　wave　solutions　of　generalized　Camassa-Holm　equation　is　one　of　the　hottest　points　in　the　study　of　nonlinear　dynamic　system.　The　peakon　and　bifurcations　in　a　generalized　Camassa-Holm　equation　are　considered　in　this　paper.　By　using　nonlinear　transform　and　the　transform　of　traveling　wave　to　the　generalized　Camassa-Holm　equation,　averaged　equation　is　obtained.　We　applied　the　bifurcation　theory　of　planar　dynamical　system　and　maple　software　to　investigate　the　equation.　We　obtain　the　peakon　from　the　homoclinic　orbit.　The　results　obtained　will　play　an　important　directive　role　in　the　study　of　Camassa-Holm　equation.　©　2011　IEEE.