The　nonlinear　dynamics　of　a　composite　laminated　cantilever　rectangular　plate　subjected　to　the　in-plane　and　transversal　excitations　is　investigated.　According　to　the　Reddy＇s　high-order　shear　deformation　theory　and　the　von-Karman　type　equations　for　the　geometric　nonlinearity,　the　nonlinear　governing　partial　differential　equations　of　motion　are　derived　by　using　the　Hamilton＇s　principle.　The　Galerkin　approach　is　used　to　transform　the　nonlinear　partial　differential　governing　equations　of　motion　into　a　two　-degree-of-freedom　nonlinear　system　under　combined　parametric　and　forcing　excitations.　The　case　of　foundational　parametric　resonance　and　1:1　internal　resonance　are　taken　into　account.　The　method　of　multiple　scales　is　employed　to　obtain　the　four-dimensional　averaged　equations.　The　results　of　numerical　simulation　demonstrate　that　there　exist　the　periodic,　multi-periodic,　quasi-periodic　and　chaotic　motions　of　the　system.