With　employing　the　transverse　shear　deformation　theory　and　von　Karman　plate　theory,　the　nonlinear　static　behavior　of　a　simply　supported　rectangular　magnetoelectroelastic　plates　is　investigated.　According　to　the　Maxwell＇s　equations,　when　applying　the　magnetoelectric　load　on　the　plate＇s　surfaces　and　neglecting　the　in-plane　electric　and　magnetic　fields　in　thin　plates,　the　electric　and　magnetic　potentials　varying　along　the　thickness　direction　of　the　magnetoelectroelastic　plates　are　determined.　The　nonlinear　differential　equations　for　magnetoelectroelastic　plates　are　established　based　on　the　Hamilton＇s　principle.　The　Galerkin　procedure　furnishes　an　infinite　system　of　differential　equations　into　algebraic　equations.　In　the　numerical　calculations,　the　effects　of　the　nonlinearity　and　span-thickness　ratio　on　the　nonlinear　load-deflection　curves　and　electric/magnetic　potentials　for　magnetoelectroelastic　plates　are　discussed.　©　2016　Trans　Tech　Publications,　Switzerland.