The use of porous materials, e.g. sintered metals, ceramics and refractories, has found its applications in many thermal problems. In which situations, the prediction of attained thermal stresses in porous media has to be carefully and accurately computed for proper and safe operation. Assuming a steady heat flow across thick walled porous cylinder, the induced thermal stresses and consequently their influence on the total stress distribution due to existing pressures could be computed. By the aid of a specially devised computer program, the stress distribution in porous mat-rix of thick walled cylinder has been fully analysed and the selection of materials properties and cylinder dimensions have also been herein optimized.