The coupled thermoelasticity of shells of revolution, based on second-order shell theory, is considered, and the governing equations including normal stress and strain as well as the transverse shear and rotary inertia are considered. The coupled energy equation based on the assumption of Lord and Shulman (Lord, H. W., and Shulman, Y., A Generalized Dynamical Theory of Thermoelasticity,' Journal of Mechanics and Physics of Solids, Vol. 15, No. 5, 1967, pp. 299-309) is further considered, and the total system of equations is solved by means of Galerkin finite element method. It is concluded that the inclusion of normal stress in the coupled equation is significant and for thin shells can result in a noticeable difference in shell response compared to unassumed conditions.