Dr Emma Parry, spokeswoman for the Royal Australian and New Zealand College of Obstetrics and Gynaecology, said the plateau could be explained in part by advances in fertility treatment.
"During the mid-1980s to 2000, fertility treatments were introduced in New Zealand. And a lot of the fertility treatments resulted in multiple births."
In the early days of IVF treatment, two or three fertilised eggs were put back into a patient's uterus to maximise chances of a baby.
But research has since shown that the chances of having a baby are as good if just one embryo is used, which in turn reduces the chance of multiple births.
"There has been a very big shift. And the fertility units in New Zealand are extremely careful in the way that they do it - they're really good units.
"The US units have not tended to take that approach yet, and it's been a lot more financially driven in the US."
Dr Parry said the levelling off in the number of twins being born was good news, as multiple births were more risky for both the babies and mother.
"We're quite pleased about that [the flatline], because they are such higher-risk pregnancies, with more complications."
According to National Women's Hospital's annual clinical report of 2010, the number of babies who died before birth or within the first week of life for single term pregnancies was 13.4 in 1000 births. The rate for multiple pregnancies was 50.3 in 1000 births.
The same report showed that 192 twins were born prematurely at National Women's Hospital last year, compared with 106 twins born at full term.
Last year, 11 per cent of all pregnancies dealt with at Auckland Hospital's fertility clinic, Fertility Plus, were twin pregnancies.
Dr Parry said older women were more likely to give birth to twins, whether fertility treatment had been used or not. However, the mother's age influenced the chances of having non-identical twins only, which develop after two separate eggs are fertilised by two separate sperm.
Identical twins develop after one zygote splits and forms two embryos.
LEVELLING OFF
1980 - 984 twins born
1990 - 1374 twins born
2000 - 1714 twins born
2010 - 1774 twins born
NOTE: Births refer to the number of live births. One set of twins is equal to two births.