Natural gas liquefaction process integrated into a process for producing liquids extracted from a natural gas supply stream comprising the following steps: Introduction of a natural gas feed stream previously cooled in a main heat exchanger in a distillation column producing, in a tank, a stream of liquids comprising at least 85 mol% of hydrocarbons having at least two carbon atoms and at the head, a gas stream comprising at least 90 mol% of methane; Compression of at least part of the gas stream from the previous step at a pressure P2; Introduction of part of the current from the previous step into one or more exchangers in order to condense it; characterized in that at least part of the condensed stream is sub-cooled by heat exchange with a closed refrigeration cycle.
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