In this paper, dynamic analysis of a stiffened doubly curved sandwich composite plate with a functionally graded material (FGM) core and two isotropic layers in thermal environment is presented. Based on von Kármán non-linear strain–displacement relationships and classical plate theory, a list of non-linear dynamic equilibrium equations for stiffened FGM sandwich doubly curved plates under impact in thermal field are established by using the Hamilton’s variation principle, then combining with boundary and initial conditions, the whole problem is solved by adopting the finite difference method, Newmark method and iterative method synthetically. To verify the accuracy of the present work, comparisons are made with previously published results. The detailed studies about the influence of prime parameters like initial impact velocity, material property, temperature boundary condition, geometry parameters of doubly curved plate and non-uniform stiffeners on nonlinear dynamic response of the structure subject to impact with thermal effect are carried out.