In order to produce methanol from a syngas containing hydrogen and carbon oxides, the syngas is conducted through a first, water-cooled reactor in which some of the carbon oxides are catalytically reacted to obtain methanol. The obtained mixture containing syngas and methanol vapor is fed to a second, gas-cooled reactor in which some more of the carbon oxides are reacted to obtain methanol. Methanol is then separated from the syngas, and syngas is recirculated to the first reactor. The cooling gas flows through the second reactor as a parallel flow to the mixture withdrawn from the first reactor.
