This　paper　focuses　on　the　transient　and　steady-state　nonlinear　dynamic　responses　of　the　functionally　graded　material　(FGM)　truncated　conical　shell　under　the　ultra-high　temperature　and　two　types　of　blast　loads　or　uniform　load.　The　volume　fractions　are　modified　in　the　thickness　direction　gradually,　and　the　material　properties　depend　on　the　temperature.　Using　the　first-order　shear　deformation　theory,　geometrical　nonlinear　strain-displacement　relationship　and　Hamilton　principle,　the　partial　differential　governing　equation　of　motion　are　derived　for　the　FGM　truncated　conical　shell.　Galerkin　method　is　utilized　to　obtain　the　nonlinear　ordinary　differential　governing　equations　of　motion.　The　post-difference　method　is　used　to　simulate　the　governing　equations　of　motion,　and　the　nonlinear　transient　and　steady-state　responses　are　analyzed　for　the　FGM　truncated　conical　shell　subjected　to　two　different　blast　loads.　The　effects　of　the　geometric　parameters　and　blast　loads　on　the　nonlinear　vibrations　are　studied　for　the　FGM　truncated　conical　shell.　The　results　indicate　that　two　kinds　of　blast　loads　have　significant　the　effects　on　the　amplitudes　of　the　vibrations　for　the　FGM　truncated　conical　shell,　and　the　amplitudes　of　the　vibrations　decreases　with　the　increase　of　the　length-thickness　ratio.　The　periodic　and　chaotic　vibrations　of　the　FGM　truncated　conical　shell　are　found.