Piezoelectric　materials　possess　excellent　electromechanical　coupling　characteristics,　which　are　functional　and　suitable　in　structural　vibration　control.　This　study　investigates　the　active　control　of　free　and　forced　vibration　for　piezoelectric-integrated　functionally　graded　carbon　nanotube　reinforced　composite　(FG-CNTRC)　plate　using　the　finite　element　method　(FEM).　Based　on　the　first-order　shear　deformation　theory　(FSDT),　the　governing　equations　of　the　motion　of　a　piezoelectric-integrated　FG-CNTRC　plate　are　derived　by　Hamilton’s　principle.　The　convergence　and　accuracy　of　the　numerical　method　is　verified　through　the　results　of　natural　frequencies.　The　influences　of　CNT　volume　fraction,　CNT　distribution　type,　piezoelectric　layer　thickness-to-plate　thickness　ratio,　and　boundary　condition　on　the　natural　frequencies　are　investigated.　A　constant　gain　velocity　feedback　algorithm　is　used　to　achieve　the　dynamic　response　control　of　the　piezoelectric-integrated　FG-CNTRC　plate.　In　addition,　the　effects　of　dynamic　load,　feedback　control　gain,　and　boundary　condition　on　the　dynamic　response　of　the　plate　are　studied.　Numerical　results　indicate　that　active　control　is　promising　for　practical　applications　in　civil　and　mechanical　engineering.　Copyright　©　2022　Yu,　Zhang　and　Wang.