The major potential lines of enhancing efficiency and economy of membrane units for producing specialpurity (super-purity) hydrogen from methane are mathematically analyzed. It is shown that one of the potential ways of enhancing efficiency is improving the process flow structure and modes of operation of the unit with a view to increasing hydrogen concentration in the gas phase prior to membrane separation. In another case, the efficiency of special-purity hydrogen production can be enhanced in the simple hightemperature converter-membrane unit system by combining membrane extraction of hydrogen with catalytic conversion of methane and selection of process parameters.Enhancing efficiency and economy of high-purity gaseous hydrogen production is a critical issue of hydrogen energy engineering. The accumulated practical experience of creation and operation of high-temperature membrane apparatuses (HTMA) and high-temperature membrane units (HTMU) with a single-unit hydrogen output ranging from hundreds to a few thousands of cubic meters of hydrogen per hour [1][2][3][4], which is commensurable with outputs of industrial electrolyzers, enables us to consider HTMU as holding real prospects for creation of highly efficient and economic systems for production of gaseous hydrogen with a purity surpassing that in electrolytic production.HTMUs are highly promising for special-purity (super-purity) hydrogen (SPH) production from natural gas consisting practically of methane alone. Since hydrogen occurs in methane in bound form, its direct extraction using membranes from palladium-based alloys is fraught with difficulties. So, in general, methane is initially submitted to catalytic conversion with steam (vapor) into a multicomponent hydrogen-containing gas mixture, which is enriched with hydrogen further by various methods and sent for membrane separation. Thus, the process flow scheme of the HTMU for getting SPH from natural gas must contain as the minimum a high-temperature converter (HTC) and a HTMA having a thin continuous membrane from a palladium-based alloy (Fig. 1a). More complex versions of methane conversion products preparation prior to membrane separation are also possible ( Fig. 1b-ƒ).In analyzing the HTMU versions (Fig. 1), the following assumptions and simplifications were adopted, as in [5]: the process flow schemes were maximally simplified, and heat-exchanging and other auxiliary units, e.g., sulfur purifier, flow rate booster, etc., were not included in them.The calculation procedure takes account of chemical conversions in the high-temperature methane converter (HTC), low-temperature carbon monoxide converter (LTC), H 2 O, CO 2 , and H 2 mass flows respectively in water vapor condensers (C), carbon dioxide freezers (F), and HTMA.