Free　vibration　of　functionally　graded　material　(FGM)　sandwich　double　curved　shallow　shells　based　on　an　improved　hyperbolic　sine　shear　deformation　theory　with　stretching　effects　is　presented.　The　dynamic　model　is　obtained　by　the　Hamilton　principle.　The　dimensionless　natural　frequencies　with　FGM　face　sheet　and　homogeneous　core　under　simply　supported　conditions　are　calculated　by　Navier　method　and　compared　with　the　results　from　the　classical　laminated　theory,　the　first-order　shear　deformation　theory,　hyperbolic　sinusoidal　shear　deformation　theory　and　other　previous　research　obtained　results.　Effects　of　gradient　parameter,　core　thickness　and　length-thickness　ratio　on　frequency　are　analyzed.　Numerical　experiments　show　that　the　results　based　on　the　new　higher　order　shear　deformation　theory　in　this　paper　are　more　accurate　than　others.　The　dimensionless　natural　frequency　of　FGM　sandwich　double　curved　shallow　shells　decreases　with　the　increase　of　gradient　material　properties　change　index,　increases　monotonically　with　the　thickness　of　the　core　layer　and　the　length-thickness　ratios.　©　2017,　Editorial　Department　of　CJAM.　All　right　reserved.