In　this　paper,　higher-dimensional　periodic　and　chaotic　oscillations　for　a　parametrically　excited　viscoelastic　moving　belt　with　multiple　internal　resonances　are　investigated　for　the　first　time.　The　external　damping　and　internal　damping　of　the　material　for　the　viscoelastic　moving　belt　are　considered　simultaneously.　First,　the　nonlinear　governing　equation　of　planar　motion　for　the　viscoelastic　moving　belt　with　the　external　damping　is　given.　Then,　the　transverse　nonlinear　oscillations　of　the　viscoelastic　moving　belt　are　considered.　The　method　of　multiple　scales　and　the　Galerkin　approach　are　applied　directly　to　the　governing　partial　differential　equation　of　motion　for　the　viscoelastic　moving　belt　to　obtain　an　eight-dimensional　averaged　equation　for　the　case　of　1:2:3:4　internal　resonances　for　the　first-,the　second-,　the　third-　and　the　fourth-order　modes　and　primary　parametric　resonance　of　the　first-order　mode.　Finally,　numerical　method　is　used　to　investigate　higher-dimensional　periodic　and　chaotic　motions　of　the　viscoelastic　moving　belt.　The　results　of　numerical　simulation　demonstrate　that　there　exist　the　period,　period　2,　period　4,　multiple　period　and　chaotic　motions　of　the　viscoelastic　moving　belt.　The　multipulse　chaotic　motions　of　the　viscoelastic　moving　belt　are　observed　from　numerical　simulations.