NOVELTY - Producing methanol from a synthesis gas containing hydrogen and carbon oxide, comprises conducting the synthesis gas through a first water-cooled reactor (2), where a part of carbon oxide is catalytically converted to methanol and feeding the obtained mixture containing synthesis gas and methanol vapor to a second gas-cooled reactor (11), where a further part of the carbon oxide is converted to methanol. The methanol is separated from the synthesis gas, and the synthesis gas is led back to the first reactor. The cooling gas flows through the second reactor to the mixture of first reactor.    USE - The process is useful for producing methanol from a synthesis gas containing hydrogen and carbon oxide.    ADVANTAGE - The process: avoids the condensation of methanol in the second reactor, thus reduces water content of the resulting mixture, which ensures the higher yield of methanol.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is also included for a system for producing methanol from a synthesis gas containing hydrogen and carbon oxide, comprising a first water-cooled reactor, in which a portion of carbon oxide is catalytically converted to methanol, a second gas-cooled reactor, which is fed with the gas mixture obtained from the first reactor over a line and in which a further portion of the carbon oxide is converted to methanol, a separation device (21) for the separation of methanol from the synthesis gas and a recirculation line for recycling of synthesis gas to the first reactor, where a cooling line (9) leads form the separation device to the entry of the second reactor, over which the synthesis gas is fed into the second reactor, and the synthesis gas flow through the second reactor as a parallel flow to the mixture withdrawn from the first reactor.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic representation of the system for producing methanol from a synthesis gas containing hydrogen and carbon oxide.    First synthesis reactor (2)    Second synthesis reactor (8)    Cooling line (9)    Cooler (18)    Separation device (21)