Based　on　classical　linear　theory　of　shell,　the　deformation　of　functionally　graded　truncated　conical　shell　subjected　to　transverse　mechanical　load　as　well　as　non-uniformly　thermal　load　is　studied.　In　the　analysis,　material　properties　of　the　shell　are　assumed　to　be　temperature　dependent,　and　graded　in　the　thickness　direction　according　to　a　simple　power　law　distribution　in　terms　of　the　volume　fractions　of　the　constituents.　And　then　obtain　the　exact　solution　of　the　problem　in　terms　of　Bessel　functions　by　using　analytic　method.　©　(2012)　Trans　Tech　Publications,　Switzerland.