In　this　paper,　the　nonlinear　dynamic　characteristics　of　simple　supported　plate　structures　of　1-3　type　piezoelectric　liber　composites　(MFC-GP)　coated　with　graphene　were　studied.　First,　the　nonlinear　partial　differential　equation　of　the　MFC-GP　composite　material　plate　was　deduced　based　on　the　Reddy　first-order　shear　deformation　theory,　Von　Kármán　displacement　strain　relation　and　Hamilton　principle.　Then,　it　was　discretized　into　two-degree-of-freedom　ordinary　differential　equation　by　the　Galerkin　method.　Furthermore,　the　frequency-response　equation　with　internal　resonance　1:　1　was　obtained　by　the　multi-scale　method,　and　the　effects　of　volume　fraction　of　graphene,　voltage,　temperature　and　initial　phase　on　the　frequency　response　curve　were　analyzed.　Finally,　the　vibration　response　of　MFC-GP　composite　plate　was　investigated　by　using　bifurcation　diagram,　phase　diagram　and　waveform　through　numerical　simulations.　The　results　were　shown　complex　nonlinear　vibrations　of　the　plate　with　different　pa-rameters　and　external　excitations,　which　would　have　certain　guiding　significance　for　future　engineering　application.　©　2019　Journal　of　Dynamics　and　Control.　All　rights　reserved.