In　this　paper,　we　first　analyze　the　chaotic　dynamics　of　a　higher-dimensional　nonlinear　system　for　a　composite　laminated　plate　in　the　case　of　1　3　3　internal　resonances　with　the　theory　of　normal　form　and　the　energy-phase　method　The　theory　of　normal　form　is　used　to　obtain　the　simpler　normal　form　of　the　system　The　energy-phase　method　is　employed　to　analyze　the　multi-pulse　chaotic　dynamics　of　the　higher-dimensional　nonlinear　system　for　a　composite　laminated　plate　Moreover,　the　numerical　simulation　is　performed　to　find　the　multi-pulse　chaotic　motion　of　the　composite　laminated　plate　The　global　theory　analysis　and　the　results　of　numerical　simulation　demonstrate　that　the　existence　of　the　periodic　motions　and　chaotic　motions　with　the　jumping　phenomena　in　the　composite　laminated　plate