Filtration combustion is characterized by the extensive heat exchange between the gas and porous media and this may lead to the superadiabatic combustion. This paper presents the theoretical analysis for superadiabatic combustion mechanism of lean premixed gases in porous media. Based on the gas-solid thermal equilibrium assumption by using an one-temperature model, a theoretical analysis of the temperature distribution in the burner is performed and an analytical solution is given by Fourier transformation. Results reveal that the mechanism of superadiabatic combustion is attributed to the overlapping of the thermal wave and combustion wave under certain conditions.