It is understood all are members of the ship's crew and La Provence is reporting the dead person is a Filipino aged 42 years.
The 120,000-tonne liner operated by Florida-based Royal Caribbean only entered service in May.
At 66m, it is the widest cruise ship ever built, and its 362m length makes it 50m longer than the height of the Eiffel Tower. It has 16 decks and can carry more than 6000 passengers and 2400 crew.