It is shown analytically and by means of numerical simulation that flame front localization inside axis-symmetric cylindrical and spherical porous media burners thereinafter PMB) is not defined only by fuel flow rate and system parameters, but also depends on combustion ignition coordinate. In a certain parameter range, combustion front does not move significantly from the place of its initial ignition. It is shown that heat losses at the outer boundary of PMB determine the specified peculiarities, with fuel flow rate, heat content of the mixture and the PMB external radius being the governing parameters.