The statistics showed 62,260 babies were born in the September 2011 year, down 1470 (two percent) on the previous year.
For the same time, 29,710 people died, up from 910 on the year before.
"The deaths, combined with the live births, results in a natural increase of 32,550, down from 34,940 the year before,'' SNZ population statistics manager Andrea Blackburn said.
The Auckland region accounted for 37 percent of births, at 22,910, followed by Canterbury (6900), Wellington (6560) and Waikato (5980) _ in line with their share of the population.
Auckland also accounted for the most deaths, at 7460.
"Although the Auckland region is home to approximately one third of New Zealand's population, it only accounted for one quarter of New Zealand's deaths,'' Ms Blackburn said.
"This is due to the region's relatively young age structure.''
The February 22 Christchurch earthquake was partly responsible for an increase in deaths in the region, from 4190 in the year ended September 2010 to 4520 in 2011.
However, more deaths were also recorded throughout the rest of the year.
Other facts for the year ended September 2011:
* Median age of death for women was 83 and 77 for men;
* Only five percent of those who died were aged under 40;
* 4.8 babies per 1000 died before they turned one, down from 5.2 the year before and from 22.4 in 1961.