The invention relates to a marine surface vessel (1), in particular a passenger ship, extending in a longitudinal direction between a bow (2) and a stern (3), comprising - least one power providing apparatus (6) operatively connected to at least one propulsion unit (7) for propulsion of the vessel, - a fuel tank arrangement (8) for storing gaseous fuel in a liquid phase, connected to the power providing apparatus (6) by means of a gas supply system for running the power providing apparatus (6), and - a plurality of decks (91-98) distributed vertically, one above the other, - the fuel tank arrangement (8) comprising two tank sub-arrangements (81, 82), each tank sub-arrangement comprising at least one gaseous fuel tank (811, 812, 821, 822), each fuel tank extending vertically past at least two of the decks (92-95), and at least two of the decks (92-95), past which the fuel tanks (811, 812, 821, 822) extend, each presents a passageway (941) extending between the tank sub-arrangements (81, 82).