Disclosed is a system for producing hydrogen from a byproduct gas generated during a steelmaking process or a coal chemistry process, including a reformer for reforming the byproduct gas using steam (H2O), a separator for separating a reformed gas supplied from the reformer into a reduction gas and hydrogen gas (H2), a first reactor for reducing ferric oxide (Fe2O3) into ferrous oxide (FeO) using the reduction gas supplied from the separator, and a second reactor for producing ferrous-ferric oxide (Fe3O4) and hydrogen gas (H2) by mixing the ferrous oxide (FeO) supplied from the first reactor with steam (H2O), wherein the concentration of hydrogen gas (H2) in the reformed gas discharged from the reformer is higher than the concentration of hydrogen gas (H2) in the byproduct gas.