Abstarct: The aim of this study is to investigate and modeling the associated stress and displacement in thick walled heterogeneous sphere under mechanical and thermal loading. The governing equation of thick sphere have been extracted for exponentially varying properties of material under internal and external pressure, The solution of the final equation has been indicated and by case study, results and graphs of the stress and displacement distribution have been indicated. For investigation the accuracy of results conducted from analytical solution, the numerical modeling of sphere has been done and the results of two methods compare. Also thermo-elastic analysis of the spherical shells under pressure and uniform heat flux has been conducted and comparing the results with that of numerical show that plane elasticity theory is a very efficient method on thermo elastic analysis. Finally conclusion, discusion and seggestion have been indicated.