In this thesis, the dynamic response of functionally graded carbon nanotube reinforced composite (FG-CNTRC) plates on two-parameters elastic foundation under moving load in thermal environment are studied and investigated. The mechanical properties of the FG-CNTRC plate are calculated by using the rule of mixtures. It is assumed that the CNTs has four different distribution patterns along the thickness direction. The thermoelastic equilibrium equations were drieved by energy principle. The equilibrium equations were discritezed and solved using differential quadrature method (DQM). By solving the equilibrium thermoelastic equations, the initial thermal stresses and equilibrium state displacements were obtained. In this thesis it is assumed that the tempreture has uniform distribution in the thickness direction. The governing equations of motion around the thermoelastic equilibrium state were drieved by using the Hamilton principle based on first order shear deformation theory (FSDT). The Newmark’s and DQM methods were used to solve the thermoelastic equations of motion of the FG-CNTRC plate in the time and spatial domain. In order to apply the moving load on the FG-CNTRC plate, the Heaviside function is used. The convergency and verification of the code were analyzed with some examples. At the parametric study, the effect of some parameters such as geometrical parameters, CNTs distribution patterns, CNTs volume fractions, elastic foundation parameters and thermal environment on the free and force vibration behaviors of the FG-CNTRC plates were studied. The results showed that when the moving load moved with an under critical velocity on the FG-CNTRC plate, the maximum dimensionless transverce displacement, occurred on a different place with the center point regardless of the CNTs distribution patterns.