This paper deals with the free vibration and buckling analysis of CNT (Carbon Nanotube) reinforced FG (Functionally Graded)Timoshenko beams. Material properties of the nano-composite are obtained by considering various type of CNTs distributions which includes uniform distribution (UD) and some FG distributions (FG-δ, FG-V and FG-δ) of the volume fraction of CNTs through the thickness of the beam. Mori-Tanaka method is employed for finding the material properties of the resulting composite beam. Timoshenko beam theory is employed to study the dynamic behaviour of the beam. The finite element method is employed to discretize the model and obtain a numerical approximation of the motion equation. Free vibration analysis is carried out to obtain the natural frequencies of the beam for different boundary conditions. Critical buckling load are obtained for nano-composite beams with different boundary conditions. Effects of CNTs volume fraction, orientation, distribution, slenderness ratios and boundary conditions on both natural frequency and critical buckling load are also investigated. The results clearly indicate that the addition of CNT and its distribution has a substantial effect on the elastic properties as well as on the dynamic characteristics of beam. It is also perceived that the nano-composite beam have better dynamic responses as compared to the existing conventional composite beams. © IAEME Publication.