That rate increases to 35 per cent for Maori, and 22 per cent for Pacific people.
Today's announcement was jointly made by Maori Party co-leader Marama Fox, who said she was proud to advance the work of the party's previous leader and former associate health minister Dame Tariana Turia.
"[She] oversaw four annual 10 per cent rises in tobacco excise. She worked tirelessly to put a stop to whanau dying needlessly from smoking-related diseases," Mrs Fox said.
Today's tax hikes are part of measures designed to make New Zealand smoke-free by 2025.
Associate Health Minister Peseta Sam Lotu-Iiga said raising tobacco tax was the most powerful tool to bring down rates of smoking.
"Previous excise increases reduced per capita tobacco consumption by around a quarter and prompted thousands of smokers to quit, and we're not stopping there."
Asked after his Budget address if the tax was more about revenue gathering, Finance Minister Bill English said the evidence was that tax hikes would bring down the number of smokers.
He said some people may feel targeted, but the tax hikes sent a "clear and consistent" message that, in the long-run, New Zealand was committed to drastically bringing down smoking rates.
New Zealand First leader Winston Peters said tobacco tax hikes would disproportionately affect poor families.
"It's ... a legal product. Food kills a lot of people in this country - that is a tsunami of medical problems coming our way, what's [the Govt] going to do about that?"
"You could look at all the moral and medical issues, but frankly if it's a legal product why are they slamming working people so hard on that matter?
"A lot of children will not be fed because of that."
Campaigners say good start, but it's too small
The new series of 10 per cent annual tobacco tax increases will be good for Kiwis' health, but they're far too small, heart-health campaigners say.
The Government expects the four annual increases will push the price of a typical cigarette from $1 now, to $1.50 in 2020.
The Heart Foundation supports the new series of 10 per cent increases, which follow several years of the same annual medicine, but says the new measure would be much more effective if it was far bigger.
"... we recommended a tobacco tax increase of 40 per cent followed by successive 20 per cent increases," said foundation spokeswoman Louisa Ryan.
"Unfortunately, we've seen that 10 per cent increases have lost their impact, as both the tobacco industry and smokers have been able to adapt to these increases each year."
"We know that most smokers would love to quit. Increasing tobacco tax is one of the best ways to reduce smoking."
Taxpayers' Union executive director Jordan Williams said the tobacco tax increase was "morally questionable".
"Smokers already pay more than three times the health costs of their habit. Penalising people for voluntarily choosing a damaging habit is morally questionable when the very people who pay are those who can least afford it. But governments always 'need' more money and public health is a convenient excuse."
"The socioeconomic make-up of tobacco consumers means that these higher taxes land on those who can least afford it. It means the Budget is giving with one hand but taking with the other."
He said that if the Government was genuine about reducing smoking - and not also being influenced by the extra tax revenue - why had it not legalised electronic cigarettes, which England's public health agency estimated were at least 90 per cent less harmful than smoking and were Britain's leading quit-smoking tool.