As a high-energy clean fuel, hydrogen is one of the most promising energy carriers to achieve “carbon neutrality”. In order to produce hydrogen, a novel porous media heat-hydrogen coproduction system (PHH) with regular structure was built, and ceramic foam was added to improve thermal radiation performance. The effects of porous regular structure on the temperature distribution, products concentration, and thermal radiation efficiency were investigated at different operating conditions. The results indicated that the regular structure achieved higher hydrogen concentration and methane conversion efficiency than the irregular structure, especially at small-diameter pellets. Meanwhile, increasing the pellets diameter and decreasing the ceramic rings size reduced the radiation efficiency, but that improved the hydrogen production. The optimal thermal efficiency (26.5%) and radiation efficiency (33.2%) were obtained in the Ⅰ-type reactor at the equivalence ratio of 1.5. In addition, with the inlet velocity increasing from 10 to 14 cm/s, the combustion temperature and syngas energy conversion efficiency significantly increased. These results provide an essential reference for advancing the practical application of heat-hydrogen coproduction and the design of the regular structure in porous media reactor.