<p>This article presents a study on the dynamical response of FG (functionally graded)-CNTRC (carbon nanotube-reinforced composite) curved pipes subjected to a moving load in thermal field. The effect of Winkler elastic foundation as well as the effect of Pasternak shear foundation is taken into consideration. The distribution pattern of carbon nanotubes is designed through the pipe’s thickness using five various profiles. The kinematic equations are obtained and implemented for the nanocomposite curved pipe based on the higher-order shear deformation theory considering the von Karman type of geometric nonlinearity. The time-dependent governing equations are formulated for the nanocomposite curved pipe via the Hamilton’s principle. The Ritz solution method is implemented to obtain the matrix representation for governing differential equations with three different types of boundary conditions. The obtained time-dependent equations are traced in time by considering the Newmark time marching method. Finally, several numerical examples are discussed to explore the influences of the important parameters on the dynamical response of the FG-CNTRC curved pipes subjected to a moving load.</p>