Support for changing the flag has dropped with only a quarter of those polled in the latest Herald-Digipoll survey wanting a change, compared to 40 per cent a year ago.
Asked if it was time for New Zealand to design a flag for itself, 25 per cent said "yes" and 70 per cent said "no".
Just after Prime Minister John Key announced plans for a referendum a year ago, 40 per cent supported a change while in 2010 more than half were in favour.
The latest poll, of 750 eligible voters, was taken from April 17 to 26, when there was a lot of media coverage of Anzac Day commemorations and the RSA criticised the timing of the referendum in the centenary year of the Gallipoli landing.