For temperature increase in a ring retort of the reactor for air conversion of methane and, as a result, reduction of thermodynamic probability of penetration of soot into the pores of the catalyst, it is offered to organize incomplete burning of initial methane-air mixture in a bed of inert filling with the subsequent evenly distributed side input of products in a reactionary zone of a ring retort with the catalyst. Increase in the minimum temperature in reactionary volume from 790 °C to 930 °C is reached by supply of the products of incomplete burning of methane-air mixture into the ring camera with the nickel catalyst through the punched openings which are evenly distributed on height of the lower part of the internal retort. A one-dimensional stationary model of the conversion process in a ring retort is presented, calculations on which are in satisfactory agreement with experiment. The composition of the conversion products obtained at the air consumption coefficient α = 0.25 allows them to be used as protective atmospheres in engineering, direct iron reduction processes, in the production of synthetic liquid fuels and in fuel cells.