From last decade, due to its lighter weight, resistance to the environmental attack, high tensile strength and corrosion resistance as compare to other construction materials, Pultruded profiles are used as a new innovative material in civil engineering construction applications. This paper addresses the buckling behaviour of pultruded profile of I cross section when subjected to uniform axial compression. In this, three different sizes of I-sections made of glass fibre and embedded in polyester matrix with pinned-pinned support condition are used. The Numerical and analytical study has been carried out and results of both the analysis are validated with the experimental results given by previous researcher which is demonstrated to be effective for buckling phenomenon of Pultruded section. Numerical analysis has been carried out using commercially available software package ANSYS and analytical behaviour is done by using EuroCode “JRC report EUR 27666 EN”. In the end, the results of numerical investigation are compared with analytical results and results are seems to be within range.