The　nonlinear　vibration　behaviors　of　a　reinforced　composite　plate　with　the　carbon　nanotubes　(CNT)　under　combined　the　parametric　and　forcing　excitations　are　studied　in　this　paper　for　the　first　time.　Based　on　the　Mori-Tanaka　method　and　the　method　of　calculating　the　average　stress　of　composite　materials,　the　effective　modules　for　the　carbon　nanotubes　are　obtained.　The　carbon　nanotubes　are　supposed　to　be　long　hollow　cylindrical　structures.　The　nonlinear　partial　differential　governing　equations　of　motion　for　the　CNT　reinforced　composite　thin　plate　are　derived　by　using　the　Reddy＇s　third-order　shear　deformation　plate　theory　and　the　geometric　nonlinearity　of　von　Karman.　The　governing　equations　are　discrete　to　a　set　of　ordinary　differential　equations　by　using　the　Galerkin　method.　A　perturbation　method　is　then　employed　to　obtained　the　four-dimensional　averaged　equations　of　the　CNT　reinforced　composite　thin　plate　under　the　cases　of　1:1　internal　resonances.　The　nonlinear　resonant　responses　of　the　CNT　reinforced　composite　rectangular　thin　plate　are　analyzed　under　combined　the　parametric　and　forcing　excitations.　The　effects　of　the　forcing　excitations　on　the　different　kinds　of　the　periodic　and　chaotic　motions　of　the　CNT　reinforced　composite　rectangular　thin　plate　are　investigated　through　a　comprehensive　parametric　study.　(C)　2015　Elsevier　Ltd.　All　rights　reserved.