The party fluctuates around the threshold, above or below it in various polls.
It polled 3.9 per cent in the December Herald-DigiPoll survey.
Like most other major polls, the results in the TV3 poll make some assumptions about electorate seats won.
It assumes that that Act, United Future and the Conservatives win an electorate seat and that the Maori Party wins two electorate seats.
The poll shows National down by about two points, and Labour, the Greens and New Zealand First up.
Prime Minister John Key is preferred Prime Minister by 39 per cent of respondents, down 1.9 per cent.
Labour leader David Cunliffe's ratings are unchanged on 10.8 per cent.
The poll results: National 44.5 per cent (down 1.9 points); Labour 33.5 per cent (up 1.3); Greens 12.4 (up 2); NZ First (5.7 per cent (up 1.5); Conservatives 2.1 per cent (down 0.7); Maori Party 1 per cent (down 0.2); Mana 0.3 per cent (down 1 ); Act 0 (down 0.8); United Future 0 (down 0.1).
Translated to seats in the House, the poll would see National with 55 MPs, the Conservatives with 3 (assumes one electorate seat), Maori Party 2 (assumes two electorate seats), Act 1 (assumes one electorate seat) , United Future 1 (assumes one electorate seat), Labour 40 MPs, the Greens 15 and Mana one.
An overhang of four seats would be created under the poll scenario by some parties winning more MPs than their overall party vote across the country, resulting in a 124-seat Parliament
Less than two weeks ago, Mr Key said National would be prepared to talk to New Zealand First leader Winston Peters after the next election, reversing the position it had held for two previous elections.
Mr Peters is not expected to give any indication before the election of whether he would prefer National or Labour in Government.
New Zealand First polled 6.59 last election which gave it 8 MPs, although one, Brendan Horan, is now an independent MP.