This　paper　studies　the　nonlinear　dynamical　characteristic　of　a　composite　plate　made　of　new　three-phase　materials　which　include　the　graphene　(GP)　combined　with　macro　fiber　composite　(MFC)　in　the　polymer.　The　GP　is　supposed　to　be　uniformly　dispersed　in　the　upper　and　lower　surfaces　of　the　composite　laminated　plate　with　1-3　mode　of　macro　fiber.　The　cross-ply　MFC　composite　laminated　plate　is　subjected　to　transversal　excitations.　The　constitutive　laws　for　the　MFC-GP　composite　material　are　obtained　based　on　the　rule　of　mixture　for　multi-components　of　composite　material.　The　nonlinear　governing　equations　of　motion　of　the　MFC-GP　plate　are　derived　by　Hamilton＇s　principle　and　the　von　Karman　geometrical　kinematics.　Galerkin＇s　approach　is　employed　to　discretize　the　partial　differential　governing　equations　into　a　two-degree-of-freedom　nonlinear　system.　Then,　stability　analysis　is　conducted　to　investigate　the　influences　of　various　parameters　on　natural　frequencies　of　the　MFC-GP　plate,　with　a　particular　focus　on　the　effects　of　GP　volume　fraction,　initial　conditions　and　damping　coefficients　on　nonlinear　vibration　behaviours　of　the　composite　plate.