Effects of radiative heat loss on temperatures and extinction characteristics of CH4/CO2air and CH4/CO2/O2counterflow premixed flames were numerically investigated by using the detailed chemistry and transport properties with emphasis on assessing the importance of radiation reabsorption. Radiative transfer was calculated using the discrete ordinate method along with the grey gas assumption. Results show that radiation reabsorption has little influence on the temperatures and extinction limits of CH4/ air counterflow premixed flames of low equivalence ratio. However the radiation reabsorption has a significant effect on the flame temperatures and extinction limits of CH4/CO2/air and CH4/CO2/O2counterflow premixed flames becomes smaller as the fraction of Co2added to air increases. Radiation extinction of CH4/CO2/O2flames occurs at higher stretch rates than that of CH4/air flames.