Based　on　the　first-order　shear　deformation　theory　(FSDT)　and　combined　with　von　Karman＇s　nonlinear　strain-　displacement　relationship,　the　nonlinear　dynamic　model　of　the　rectangular　magnetoelectroelastic　(MEE)　laminated　plate　is　established.　Then　the　nonlinear　motion　control　equations　of　the　structure　are　derived　by　using　Hamilton　principle.　Through　introducing　dimensionless　parameters,　these　equations　are　processed　by　converted　into　the　dimensionless　form.　Given　simply　supported　boundary　conditions,　the　nonlinear　higher　order　equations　in　the　governing　equations　are　transformed　into　algebraic　expression　by　the　Galerkin　method.　In　the　numerical　examples,　the　influences　of　size　factors,　temperature　variation,　stacking　sequence　and　external　loads　on　the　deflection　of　the　MEE　laminated　plate　are　studied.　In　addition,　the　distribution　rule　of　electric　and　magnetic　potential　along　the　thickness　direction　of　the　MEE　laminated　plate　with　two　different　stacking　sequences　is　given.