Forced convection heat transfer in porous medium is involved mainly with the seepage, convection heat transfer, thermal dispersion and thermal radiation. Their research statuses and development trends are reviewed in this paper. The primary theoretical models, experimental research and empirical correlations were systemized and their features, application range and limitation were summarized too. Furthermore, the future research area and the difficulty are presented on the convection heat transfer of porous medium according to the comparative analysis of the past research results. In addition, when the radiation heat transfer can be considered in the cooling process of high temperature porous medium is determined by the simplifing calculation. All of these will be helpful to the theoretic research and engineering application of the porous medium.