Nowadays, the use of nanomaterials such as Nano composites has been developed in the industry due to the increasing need for various materials of different properties. Nano composite is composite which has one or more component dimensions of less than 100 nanometers. The matrix phase of nanocomposites may be polymer, metal or ceramic. The second phase is distributed in the first phase for particular purposes including electrical conductivity and resistance. Amongst the Nano-materials, carbon nanotubes are noticeable due to the significant mechanical and thermal properties of nanotubes, composite plates will show a great resistance. These materials have an elastic modulus about 1TPa which are of the highest moduli of elasticity among these materials. In this thesis, a simple and effective formulation based on isogeometric analysis (IGA) and third shear deformation theory (TSDT) is used to evaluate the static behavior and thermal buckling of functionally graded carbon nanotube reinforced composite (FG-CNTRC) plates. The rule of mixtures is used to express the effective material properties of CNTRC plates. Non-uniform Rational B-spline (NURBs) basic functions are employed to approximate the governing equations. Therefore, any desired degree of continuity is achievable through the choice of interpolation order, so that the method fulfils -continuity that TSDT modeling requires. Finally, the effect of different distributions of carbon nanotubes across the plate thickness, volume fractions of CNTs, aspect ratio and different boundary conditions of the plates on static and thermal buckling behavior of plates is investigated. Keywords: Functionally graded carbon nanotube-reinforced composite plates, static analysis, thermal buckling, and third order shear deformation theory (TSDT), isogeometric analysis