Porous materials possess superior mechanical and thermal performances, and have been widely used in aeronautics, astronautics, atomic energy, transportation etc industries. The effect of the radiation for the heat transfer property of the porous materials with the cylindrical cavities is studied. The micromechanics methods, ie dilute, self-consistent and Mori-Tanaka methods, are extended to predict the effective thermal conductivity of porous materials accounting for the radiation effect at high temperature. The compact closed form formula of the local effective thermal conductivity is derived, which is very convenient for engineering application. A comparison with available theoretical predictions is made to demonstrate the accuracy of the present formula. The dilute and self-consistent methods give unreasonable predictions for the relative high porosity. The Mori-Tanaka predicts reasonable solutions. Numerical examples reveal a lot of interesting interaction phenomena of pores on heat transfer. It is seen that the local effective thermal conductivity divides into two parts: one attributes to conduction and the dimensionless conductivity by pure conduction is independent of temperature and pore size, whereas the other is due to thermal radiation in the pores and strongly depends on temperature and pore size, which is negligible at low temperature and in the case of small pores.