The proportion of people planning to put One Nation first on their ballot paper has risen four points to 31 per cent, according to a Redbridge Group/Accent Research poll, published on Monday by The Australian Financial Review.
Labor's primary vote is at 28 per cent, down three points since the poll firm's last survey a month ago and the government's budget that was announced on May 12.
The coalition dropped two points to 20 per cent.
Asked whether she can properly represent all voters given her brand of populist right-wing politics which has been branded racist by some, Senator Hanson said she was focused on a unified national identity.
"I can be a prime minister for all those who want to be Australians," she told Sydney radio 2GB.
"Yes, we acknowledge that we are multiracial, but we must be Australians, and that's what people are screaming out for."
Labor leads One Nation 51 per cent to 49 on the Redbridge poll's two-party-preferred basis, calculated by asking respondents how they would direct their preferences.
The poll of 1005 voters was conducted between Monday and Thursday and has a 3.4 per cent margin of error.
It shows Senator Hanson's net favourability - her approval rating minus her disapproval rating - at zero.
No Australian politician in the poll has a positive net favourability rating: the prime minister is on minus 19 while both Liberal leader Angus Taylor and Nationals leader Matt Canavan are on minus four.
Mr Albanese remains the preferred prime minister, with 31 per cent favouring the Labor leader, while Senator Hanson is on 25 per cent and Mr Taylor on 14.
Mr Albanese's lead on the measure dropped two points and Senator Hanson's rose by two points while Mr Taylor's remained unchanged.Â
Senator Hanson said she felt vindicated by the polling but cautioned against drawing too many conclusions until a federal election.
With the RedBridge poll putting the coalition in a distant third, frontbencher Tim Wilson said he was focused on ensuring the opposition remained a party of government with a plan of "confidence and hope" for the future of the country.
"That's our mission and everything else is a distraction, he told reporters in Canberra on Monday.
New Liberal party president and former prime minister Tony Abbott said he wouldn't disparage Senator Hanson because she had shown a lot of resilience over the years.
"The strong Liberal-National coalition has proven again and again that we are capable of giving Australia the good government our country so desperately needs," he told Nine's Today Show.
Before the poll results were released, Senator Hanson told Sky News on Sunday she has what it takes to become prime minister, but added she wasn't sure if she would ever achieve the role.
She also expressed confidence One Nation MPs would be able to form a competent cabinet if her party won government.
The poll said 63 per cent of respondents believed Australia was heading in the wrong direction, a result Redbridge director Tony Barry said helped explain One Nation's surge.
"That pervasive negative mood sentiment is fuelling more anti-establishment support and a view among a growing cohort of voters that the answer lies outside established norms and major parties," Mr Barry said.
