A 21 year woman is in a critical condition in the Royal Hobart Hospital following a single vehicle rollover on King Island late last night.

The woman was one of three passengers in a white Toyota Rav 4 which rolled on North Road, about 2km north of Cathams Road, Currie, about 10pm last night.

The 20 year old male driver, a 20 year old female passenger and a 23 year old male passenger were treated for minor injuries at the King Island District Hospital.

All the people involved work on King Island.

Police are investigating the crash and are appealing for witnesses. Alcohol and inattention are believed to be contributing factors at this stage.

Anyone with information should contact King Island Police on 131444 or anonymously via Crime Stoppers on 1800 333 000 or crimestopperstas.com.au.