The　nonlinear　dynamic　characteristics　of　an　axially　moving　viscoelastic　belt　are　studied.　The　Galerkin　approach　is　applied　to　obtain　the　ordinary　differential　governing　equations.　Sequentially,　the　natural　frequency　of　the　belt　is　investigated.　Based　on　the　4-order　Runge-Kufta　algorithm,　the　effects　of　the　parameters,　such　as　the　steady　tension,　perturbation　tension,　the　frequency　and　the　dynamic　viscosity,　on　the　dynamic　characteristic　of　the　belt　are　respectively　presented.　Finally,　a　compared　study　between　the　nonplanar　transverse　oscillations　and　only　in-plane　transverse　oscillations　of　the　belt　is　also　carried　out.　The　nutherical　results　indicate　that　bifurcation　and　chaos　phenomena　occur　in　the　nonlinear　transverse　oscillations　of　the　axially　moving　viscoelastic　belt.　In　addition,　under　the　same　initial　conditions　and　parameters,　there　are　serious　differences　of　dynamic　response　between　the　nonplanar　transverse　oscillations　and　only　in-plane　transverse　oscillations　for　the　axially　moving　viscoelastic　belt.