The effects of two-dimensional gas radiation on the flame behavior over a solid fuel plate are explored. The theoretical model includes the elliptic type of momentum, energy and species equations with a second-order single-step chemical reaction model of the Arrhenius type. The discrete ordinates method is employed to solve the radiative transfer equation. Numerical calculations are performed for a wide range of mass absorption coefficients and wall emissivities to characterize the flame behavior. When the gas radiation is stronger, the radiative heat loss causes the flame to retreat downstream, causes shrinkage of the flame size, and causes a decrease in the maximum flame temperature. The flame configuration is thus strongly affected by the gas radiation process.