This　paper　focuses　on　the　nonlinear　dynamics　near　internal　resonance　of　a　truncated　FGM　conical　shell.　The　FGM　conical　shell　is　subjected　to　the　aerodynamic　load　and　the　in-plane　excitation　along　the　meridian　direction.　Material　properties　depend　on　the　temperature　and　the　constituent　phases　of　the　truncated　FGM　conical　shell.　The　volume　fractions　are　modified　in　the　thickness　direction　based　on　a　power-law　function　continuously　and　smoothly.　The　first-order　piston　theory　is　applied　for　the　supersonic　aerodynamic　pressure.　Based　on　the　first　order　shear　deformation　theory,　von-Karman　type　nonlinear　geometric　assumptions,　Hamilton　principle　and　Galerkin　method,　the　nonlinear　equations　of　motion　for　the　truncated　FGM　conical　shell　are　derived.　The　averaged　equations　of　the　truncated　FGM　conical　shell　are　obtained　under　the　situation　of　1:1　internal　resonance　and　1/2　subharmonic　resonance　by　using　the　method　of　multiple　scales.　The　frequency-response　curves,　the　force-response　curves,　the　bifurcation　diagrams,　the　phase　portraits,　the　time　history　diagrams,　and　the　Poincare　maps　are　obtained　by　using　numerical　calculations.　The　influences　of　the　Mach　number,　the　exponent　of　volume　fraction　and　the　in-plane　excitation　on　the　nonlinear　resonant　behaviors　of　the　truncated　FGM　conical　shell　are　investigated.