The radiative behavior of the glass as it flows through a continuous glass furnace is studied by applying the Discrete Ordinates Method (DOM). Through the application of the DOM the radiant intensity is calculated at each of the control volumes inside the glass tank domain. Consequently, the heat fluxes of the emitted and irradiated energy in the glass are obtained. The results are presented in terms of the radiant heat fluxes distribution and temperature profile of the glass. In addition, the variation of the glass surface emissivity is studied in order to provide further understanding of the impact of this property in the glass overall thermal behavior.