Jack-up platform comprising a mooring system and method for mooring a floating vessel

A jack-up platform comprising a hull, a horizontal working deck and a number of vertical legs that connect to the working deck through jacking systems, each jacking system being configured to move a leg between a lower position, in which the leg takes support on an underwater bottom and the hull is jacked out of the water, and a higher position, in which the leg is free from the underwater bottom and the hull is floating on the water, wherein the jack-up platform further comprises a lifting device configured for lifting objects from a floating vessel, and a mooring system configured to moor the floating vessel at a mooring side of the jack-up platform, the mooring system comprising at least two elongated support means for supporting a hull part of the floating vessel, and for connecting the floating vessel to the jack-up platform, and guiding means connected to the hull of the jack-up platform at the mooring side, and configured to rigidly hold the elongated support means in a support position, in which the elongated support means are within reach of the hull part of the floating vessel to be supported when the hull is jacked out of the water and the jack-up platform rests on its legs, wherein the mooring system is configured to stabilize the floating vessel in at least a horizontal plane relative to the jack-up platform and the lifting device by limiting horizontal movements.