On the opposing side, 28 per cent said she was too young and inexperienced as a political party leader to take on the top job.
Older people were more likely to think she was too young for the role - 43 per cent of over-60-year-olds said her age was a disadvantage.
The younger generation was less likely to be bothered about her age. More than three-quarters of 18-to-29-year-olds either said her age was irrelevant or that it was a positive.
Ardern has been an MP for three terms, before which she was a staffer for Labour MPs Phil Goff and Helen Clark, a policy advisor in the UK, and the head of the International Union of Socialist Youth.
When she took on the leadership seven weeks ago, she accepted she was a "young proposition for the party".
But she highlighted her 20 years' experience "in and around politics", nine years as an MP, and a "pretty diverse rural background".
The poll of 1000 people took place between September 13 and 19 and has a margin of error of 3.1 per cent.