
The poll, conducted between March 2 and 4, showed National up 1.7 points to 33.6%, and Labour up 2.8 points to 34.1%.
The Greens dropped 3.2 points to 10%, while ACT declined 2.3 points to 7.7%.
New Zealand First was down 1.3 points to 5.1%, while Te Pāti Māori was up 2.1 points to 6.5%.
On these numbers, the centre-right block would not be able to form a government.
And for the first time since the election, Hipkins was ahead of Luxon as preferred prime minister in this poll.
Luxon dropped slightly to 20.3%, while Hipkins rose 3.1 points to 20.7%.
David Seymour fell to 5%, Winston Peters rose slightly to 8.6% and Chlöe Swarbrick fell 4.1 points to 4.8%.
Curia is a longstanding polling company but is no longer a member of the Research Association NZ body.