In　this　paper,　the　nonlinear　transient　dynamic　response　of　functionally　graded　material　(FGM)　sandwich　doubly　curved　shell　with　homogenous　isotropic　material　core　and　functionally　graded　face　sheet　is　analyzed　using　a　new　displacement　field　on　the　basis　of　Reddy＇s　third-order　shear　theory　for　the　first　time.　The　equivalent　material　properties　for　the　FGM　face　sheet　are　assumed　to　obey　the　rule　of　simple　power　law　function　in　the　thickness　direction.　Based　on　Reddy＇s　theory　of　higher　shear　deformation,　a　new　displacement　field　is　developed　by　introducing　the　secant　function　into　transverse　displacement.　Four　coupled　nonlinear　differential　equations　are　obtained　by　applying　Hamilton＇s　principle　and　Galerkin　method.　It　is　assumed　that　the　FGM　sandwich　doubly　curved　shell　is　subjected　to　step　loading,　air-blast　loading,　triangular　loading,　and　sinusoidal　loading,　respectively.　On　the　basis　of　double-precision　variable-coefficient　ordinary　differential　equation　solver,　a　new　program　code　in　FORTRAN　software　is　developed　to　solve　the　nonlinear　transient　dynamics　of　the　system.　The　influences　of　core　thickness,　volume　fraction,　core-to-face　sheet　thickness　ratio,　width-to-thickness　ratio　and　blast　type　on　the　transient　response　of　the　shell　are　discussed　in　detail　through　numerical　simulation.