The investment will also help recruit 60 new nurse specialists, palliative care educators and other roles at hospices.
"Hospices make a huge difference to people's lives by ensuring terminally ill people are as free from pain and suffering as possible," Dr Coleman said.
As announced earlier this month, Budget 2015 also contains an extra $98 million over four years to boost the numbers of Kiwis getting elective surgery, and to improve the treatment of orthopaedic conditions.
That new spending is to ensure National meets its long-running target of having about 4000 more elective surgical operations carried out each year.
Today's Budget also contains an extra $12.4 million to extend Waitemata District Health Board's bowel cancer screening pilot to December 2017.
Since January 2012, more than 6000 people have received a colonoscopy through the pilot.
"The Government is considering the next steps for a national bowel screening programme," Dr Coleman said.
"The largest constraint is having the workforce to do the colonoscopies. There are a number of initiatives under way to address this."
Total spending on health will reach $15.9 billion in the coming year, a rise of 5 per cent.
Health sector's luke-warm reaction
The Budget received a luke-warm reaction from those in the health sector.
New Zealand Nurses Organisation chief executive Memo Musa said they were disappointed to see that funding has been cut considerably for significant primary health care activities like mobile surgical services, telehealth services, in-patient hospice services, sexual health services, oral health and problem gambling.
"Funding for training our health workforce has gone down significantly yet demand for highly trained health care workers has never been higher."
"We are curious as to why there has been no increase in funding for Maori health services even though this is an area of growing need."
New Zealand Rural General Practice Network chief executive Dalton Kelly said there were some positive initiatives in the Budget including elective surgery, more bowel cancer screening and additional palliative care funding.
"But we need to ensure that funds and services filter through to rural communities."
And New Zealand Medical Students' Association president Elizabeth Berryman said medical students would not have the opportunity to finish their degrees.
The government's continued time restrictions on student loans meant there was no hope for about 150 students annually who could not stump up at least $15,000 in the final year of study, in some cases $30,000 for the last two years, she said.
"The government spends thousands of dollars each year on training doctors and for them to undercut their own investment so severely makes no sense at all."