Paddy Power has the British author as the 5/4 favourite, while Ladbrokes has Crace at 11/8, both ahead of Catton.
But the only other Kiwi to have claimed the prize, Keri Hulme, beat the 50/1 odds to win with her novel The Bone People in 1985.
Catton was born in Canada, but her family returned to Christchurch when she was six.
The Luminaries is her second novel.
The other shortlisted authors are Colm Toibin (The Testament Of Mary), Jhumpa Lahiri (The Lowland), NoViolet Bulawayo (We Need New Names) and Ruth Ozeki (A Tale For The Time Being).
The six authors each receive £2500 (NZ$4775) with the eventual winner taking home an additional £2500 and worldwide fame.
The Man Booker Prize is open to writers from Britain, Ireland and the Commonwealth.
- AAP