"At the moment, we have 5000 people dying a year, 13 people a day, I can not understand why we continue to allow a product that kills to be sold in this country."
Mana Party leader Hone Harawira also supported the proposal for a further increase, praising Mrs Turia for the work she had done on the issue.
The Government has brought in three 10 per cent increases to excise duty tax on tobacco since 2010 - the most recent on January 1, when the tax jumped to 14.5 per cent.
Prime Minister John Key was today positive about the effects of the previous increases, but would not give away any clues about whether the May 24 Budget might have more in store.
"We've raised excise before, it's been very successful in raising revenue and also in terms of reducing the numbers of people smoking, I think that's been a good thing," he said.
"The Maori Party have lobbied us hard to make further changes, but you'll just have to wait and see until May 24."
Finance Minister Bill English was also quiet on the matter, saying "I'm not ruling anything in or anything out".