Last year, 664 people were refused entry at the airport, including 21 Chinese, of whom just seven were women.
Reasons for refusing entry included non-genuine reasons for travelling, visa problems and if the traveller was thought to be likely to commit a crime.
Tourist numbers from Australia also rose in March, up 8400, because of an earlier Easter and Australian school holidays.
In the year to March, 2.618 million visitors came here, up 4 per cent from 2011.
The largest rises were for visitors from China, Australia, Malaysia and Japan. Overseas trips taken by New Zealanders were also up 7 per cent at 153,000.
MARCH FOREIGN ARRIVALS
* China 19,200 (up 8700)
* Australia 102,016 (up 8400)
* Malaysia 3728 (up 1600)
* Japan 8208 (up 1400)
* Total: 239,929 (up 24,376)
Source: Statistics New Zealand.