A study was conducted to demonstrate materials selection for optimal design of a porous radiant burner for environmentally driven requirements. The study presented the governing equations for the thermophysical problem, which entered the modeling. The basic idea of a porous burner was to perform the combustion of a premixed gas inside a porous support and conveniently subdivided into three parts, such as the entrance zone, the porous combustion support, and the exit zone. The porous support heated the combustible gas while limiting the excess of temperature reaching by the combustion through the thermal dissipation. The thermal energy of the porous support was transferred to the surrounding medium by convection at the boundaries of the porous support and by radiative emission. It was also demonstrated that a one-dimensional configuration was considered to model the porous burner.