The invention relates to a mooring tensioning arrangement for a floating structure or a vessel (11), comprising -a mooring line (3, 5, 7) having a first mooring part (3) and a second mooring part (5, 7), divided by a midwater coupling (4, 40, 400, 111), said at least a portion of the mooring line (3, 5, 7) is made of synthetic material, -said mooring line (3, 5, 7) is extending between an anchor (2) arranged on the seabed and a pulling unit (9, 10, 42) arranged separate from the floating structure or vessel (11), said mooring line (3, 5, 7) is extending at least via a fairlead pulley or a chain wheel (8, 80) arranged on the floating structure (11) between the anchor and the pulling unit (9, 10, 42) when the mooring line (3, 5, 7) being pre-tensioned, -a chain stopper (6, 60) being arranged in connection with the mooring line (3, 5, 7) between the anchor (2) and the floating vessel or structure (11) for tensioning the part of the mooring line (3, 5, 7) situated between the floating structure (11) and the anchor (2) at a pretension level. The mooring tensioning arrangement further comprising a second tensioning line (100) configured to be attached in one end to the midwater coupling (4, 40, 400) and in the other end coupled to the pulling unit (9,10, 42) when said mooring line (3, 5, 7) being re-tensioned, said midwater coupling (4, 40, 400) and the pulling unit (9, 10, 42) being arranged relative each other such that the tensioning line (100) is configured to impose a lateral force on the part of the mooring line (3, 5, 7) arranged between the anchor (2) and the floating structure (11) for removing stretch in the mooring line (3, 5, 7). The invention also relates to a method tor tensioning the mooring tensioning arrangement.