The invention relates to a method and system for operating a LNG fuelled marine vessel. The marine vessel (1) comprises a LNG storage tank (3) and a LNG fuelled power plant (71). LNG is stored in the LNG storage tank, and in connection with a bunkering operation the marine vessel is supplied with LNG by connecting a source of LNG to a bunkering line (14) of the marine vessel and subsequently supplying the marine vessel with LNG through the bunkering line. In order to achieve a faster bunkering operation the bunkering line (14) is cooled down prior to the bunkering operation.
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