Purpose　In　this　paper,　the　nonlinear　vibration　behavior　of　functionally　graded　carbon　nanotube　reinforced　composite　(FG-CNTRC)　plates　is　investigated　by　meshless　method.　Methods　The　efficiency　parameters,　which　clearly　affect　the　mechanical　properties　of　the　composite　materials,　are　characterized　by　polynomial　expressions　for　different　CNT　contents,　and　applied　as　the　inputs　in　the　vibration　analysis　of　plate　structure.　Four　distributions　of　CNTs　along　the　thickness　of　composite　plate　are　considered,　namely,　the　uniform　distribution　(UD),　FG-O,　FG-X　and　FG-V.　Based　on　the　classical　plate　theory　and　von　Karman　strain-displacement　relation,　the　governing　equations　of　motion　are　derived　by　the　virtual　displacement　principle.　Based　on　the　reproducing　kernel　particle　method　(RKPM),　the　discrete　governing　equations　for　the　vibration　of　the　FG-CNTRC　plates　are　derived.　The　linearized　updated　mode　(LUM)　method　is　adopted　to　solve　the　iteration　process　of　governing　equations.　Results　Numerical　results　are　employed　to　investigate　the　effects　of　boundary　condition,　aspect　ratio,　volume　fraction　and　arrangement　of　CNT　on　the　nonlinear　vibration　characteristics　of　composite　plates.