The　effects　of　different　parameters　on　the　nonlinear　dynamic　characteristics　of　macrofiber　composite　(MFC)　microsheet　with　graphene　(GP)　skin　under　non-uniform　thermal　field　are　investigated.　Firstly,　the　physical　parameters　of　the　MFC-GP　structure　are　calculated　by　the　mixing　rule,　and　the　constitutive　equations　of　the　structure　are　set　up　by　employing　the　Eringen　theory.　The　nonlinear　dynamic　equations　of　the　microsheet　are　obtained　by　using　Hamilton＇s　principle.　Then,　the　heat　conduction　equations　of　the　microsheet　are　considered,　adopting　Green　and　Naghdi＇s　generalized　thermoelasticity　theory.　According　to　the　Galerkin　weighted　residual　method,　the　thermoelasticity　coupling　equations　of　the　structure　are　obtained.　Meanwhile,　the　influence　of　the　positive　piezoelectric　effect　of　GP　and　MFC　on　the　vibration　response　of　the　structure　is　also　investigated.　The　nonlinear　dynamic　governing　equations　including　displacement,　coupled　thermoelasticity,　and　electricity　field　are　discretized　by　the　Galerkin　method.　The　effects　of　non-local　parameter,　volume　fraction　of　GP,　and　thermal　and　electricity　coupling　coefficients　on　structural　dynamic　behavior　are　discussed　in　the　numerical　simulation.