Thermal post buckling analysis of axi symmetric compound stepped beams, made of two different materials with axially immovable ends, for simply supported conditions, and was studied numerically. The analysis was performed by using the energy principle. The compound beam is made of two different materials, with the end segments of equal lengths of the same material with a higher, and the central segment of a different length of another material with lower coefficients of linear thermal expansion. Similarly, the Young’s modulus of the material of the middle segment is higher than that of the symmetrically placed end segments. The buckling and post buckling strength of stepped compound beam is predicted by examining the influence of inertia, length and deflection ratios. As mentioned in the title of the present work, importance is given for predicting the non dimensional post buckling parameters for the two different material combinations such as steel-aluminum, titanium-aluminum and copper-aluminum as these combinations of materials finds a major applications in the fields of aerospace, electronic, power generation and automobile industry where high strength and low weight are desirable. For post buckling analysis, the accuracy and efficiency of the present method for a isotropic uniform beam with simply supported and fixed-fixed boundary conditions, have shown a good agreement with that of obtained by finite element method.