The World has 165 cabins and describes itself as the largest privately-owned residential ship on the planet.
It is understood a section of the ship's main anchor chain broke in heavy winds at Port Arthur on Thursday, forcing the ship to use its starboard anchor. It moved to Hobart and is now berthed at Macquarie Wharf No. 2.
Shipping agent Wilhelmsen has contracted local firm Tasmanian Shipping Supplies to retrieve the anchor which weighs about 8 tonnes, but work has been delayed due to bad weather.
The cruise ship carries up to 200 passengers and 250 crew and staff. It travels the globe continuously, with some residents living onboard and others joining the ship for part of the journey. The ship was built in 2002 at a cost of USD 266 million and has 12 decks, a helicopter pad, two swimming pools, a tennis court, four restaurants and a mini-golf course.
It is scheduled to leave on Sunday evening.