The　present　investigation　focuses　on　the　research　of　the　nonlinear　vibration　of　a　cantilevered　FGMs　rectangular　plate　subjected　to　the　transversal　excitation.　Materials　properties　of　the　constituents　are　graded　in　the　thickness　direction　according　to　a　power　law　distribution　and　are　assumed　to　be　temperature-dependent　and　vary　along　the　thickness　direction.　In　the　framework　of　the　Reddy＇s　Third-order　shear　deformation　plate　theory,　the　governing　equations　of　motion　for　the　cantilever　FGMs　rectangular　plate　are　derived　by　using　the　Hamilton＇s　principle.　The　thermal　effect　due　to　one-dimensional　temperature　gradient　is　included　in　the　analysis.　The　equations　of　motion　can　be　reduced　two-degree-of-freedom　nonlinear　system　under　the　external　excitations　using　the　Galerkin＇s　method.　Using　numerical　method,　the　control　equations　are　analyzed　to　obtain　the　response　curves.　A　detailed　parametric　study　is　conducted　to　show　the　influences　of　the　material　properties　on　dynamic　responses　of　the　nonlinear　vibration　of　the　cantilever　FGM　plate.