The invention relates to a process for producing a methane-containing gas from synthesis gas, wherein a synthesis gas containing carbon monoxide and hydrogen is fed for methanation to a reactor system (1) having a catalyst material, wherein the process gas stream leaving the reactor system (1) is divided into a product gas stream and a recycle gas stream, and wherein the recycle gas stream, for compensation of the pressure drop, is transported through an ejector (5) and for cooling is passed together with the synthesis gas into the reactor system (1). According to the invention, the product gas stream is compressed to a pressure which is greater than the pressure of the synthesis gas that is fed to the reactor system (1). Either compressed product gas or industrial gas from an industrial gas pipe system (9) is fed as propellant medium to the ejector (5). The invention also relates to a methane production plant for carrying out the process.
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