National's support remains strong despite controversy over deportations from Australia and Prime Minister John Key's assertion that the opposition was backing "rapists and murderers".
Support for Mr Key as preferred Prime Minister did dip slightly to 38.3 per cent (down 1.2 per cent since September) in the latest 3 News/Reid Research poll.
However, he remains well ahead of Andrew Little (steady at 10.4 per cent), Winston Peters at 9.3 per cent and Jacinda Ardern - not chosen for the Labour deputy leader position - at 4.2 per cent.
The poll of 1000 people was conducted from November 9 to 17, the period which saw extraordinary scenes in Parliament after Mr Key accused Labour of "backing rapists", during heated debate about Kiwi detainees in Australia.
A large number of Opposition MPs, mostly women, left the debating chamber in protest after Speaker David Carter refused to make Mr Key apologise.