This　paper　deals　with　the　nonlinear　forced　vibration　of　FGM　rectangular　plate　with　a　boundary　of　two　edges　clamped　opposite　and　the　other　two　free.　The　plate　is　subjected　to　transversal　and　in-plane　excitations.　The　present　research　treats　the　material　properties　of　the　FGM　plates　as　temperature-dependent　and　graded　continuously　throughout　the　thickness　direction,　following　the　volume　fraction　of　the　constituent　materials　according　to　the　power　law.　The　temperature　is　assumed　to　be　constant　in　the　plane　and　varied　only　in　the　thickness　direction　of　the　plate.　In　the　framework　of　geometrical　nonlinearity　the　plate　is　modeled　and　the　equations　of　motion　are　obtained　on　Hamilton＇s　principle.　With　the　help　of　Galerkin　discretization,　the　nonlinear　ordinary　differential　equations　describing　transverse　vibration　of　the　plate　are　proposed.　By　the　numerical　method,　the　nonlinear　dynamical　responses　of　the　FGM　plate　with　two　clamped　opposite　and　two　free　edges　are　analyzed.