Applicability of fly ashes (FA) as CO2 acceptors in the integrated sorption-enhanced steam-methane reforming (SESMR) process carried out to produce the hydrogen was investigated. In such an integrated process, despite of reversibility of employed reactions, an in-situ adsorption of CO2 makes it possible to achieve almost total conversion of methane and produced CO. Therefore, hydrogen of high purity can be obtained directly from a singlestep adsorptive reactor. Fly ashes from power plants, as they are cheap waste, do not have to be regenerated after saturation with CO2 and can further be directly utilized, so economic efficiency of hydrogen production process can significantly be improved. Also ecological aspects of this process are ameliorated, because almost all CO2 emitted during such hydrogen production is permanently sequestrated. Series of experiments have been carried out in the laboratory tubular fixed packed bed reactor to successfully proof the proposed concept. Then, the gas-solid-solid trickle flow reactor (GSSTFR) has been proposed as a promising solution to carry out effectively the considered process in an industrial scale. The mathematical model of this reactor has been formulated, then with the results of performed simulations the practical indications for further experimental investigations have been obtained.