Abstract: The inventive stage system for producing hydrogen consists of at least two upstream/downstream stages, respectively, each of which comprises, optionally, a catalytic reactor (C1 to C5) followed by a separator comprising a space (E1 to E4) for circulation of a gaseous mixture contacting at least one oxygen extracting membrane and a hydrogen collecting space, wherein the reactor (C1) of the upstream stage is connected to a reaction gaseous mixture source, the circulation stage (E1) of the upstream stage separator is connected to the reactor (C2) of the downstream stage and the spaces for extracting/collecting oxygen from two separators are connected to a hydrogen collecting circuit (TC, 8) which is common for two stages.