We　study　the　bifurcation　of　periodic　solutions　for　viscoelastic　belt　with　integral　constitutive　law　in　1　:　1　internal　resonance.　At　the　beginning,　by　applying　the　nonsingular　linear　transformation,　the　system　is　transformed　into　another　system　whose　unperturbed　system　is　composed　of　two　planar　systems:　one　is　a　Hamiltonian　system　and　the　other　has　a　focus.　Furthermore,　according　to　the　Melnikov　function,　we　can　obtain　the　sufficient　condition　for　the　existence　of　periodic　solutions　and　make　preparations　for　studying　the　stability　of　the　periodic　solution　and　the　invariant　torus.　Eventually,　we　need　to　give　the　phase　diagrams　of　the　solutions　under　different　parameters　to　verify　the　analytical　results　and　obtain　which　parameters　the　existence　and　the　stability　of　the　solution　are　based　on.　The　conclusions　not　only　enrich　the　behaviors　of　nonlinear　dynamics　about　viscoelastic　belt　but　also　have　important　theoretical　significance　and　application　value　on　noise　weakening　and　energy　loss.