Based　on　the　classical　nonlinear　plate　theory,　axisymmetric　post-buckling　behavior　of　a　functionally　graded　circular　plate　is　investigated　under　uniformly　distributed　radial　compression.　The　governing　equations　are　derived　for　the　plate,　and　then　a　shooting　method　is　employed　to　numerically　solve　the　resulting　differential　equations.　It　is　assumed　that　the　thermal　and　mechanical　properties　of　the　functionally　graded　material　vary　varying　continuously　through　the　thickness　of　the　plate,　and　follow　a　simple　power　law　distribution　of　the　volume　fraction　of　the　constituents.　Axisymmetric　post-buckling　equilibrium　paths　for　both　clamped　and　simply　supported　plates　are　obtained.　Also,　variations　of　the　central　bending　moments　in　the　plate　with　the　applied　load　are　obtained　after　buckling　of　the　plate.　Furthermore,　effects　of　the　gradients　of　material　properties　and　boundary　conditions　on　the　critical　buckling　load　and　post-buckling　behavior　of　the　functionally　graded　plates　with　different　boundary　conditions　are　discussed.　Numerical　results　show　that　the　post-buckling　behavior　of　a　functionally　graded　plate　is　different　from　that　of　homogenous　plate,　the　gradients　of　material　properties　and　the　boundary　conditions　play　important　roles　in　analyzing　post-buckling　behavior　of　the　functionally　graded　materials　plates.