Tony Abbott and Bill Shorten are disliked by voters in their home states.
The latest Essential poll, published on Tuesday, shows the prime minister's strongest rating is in NSW where 39 per cent of voters approve and 49 per cent disapprove.
Victoria had the worst rating with 61 per cent disapproval and 31 per cent approval.
Queensland also registered 31 per cent approval and 58 per cent disapproval of the prime minister's performance.
Nationally, Mr Abbott's net approval rating has dropped from minus 15 in August to minus 24 in September.
Labor leader Bill Shorten's national net approval rating in September was minus 23, lifting slightly from minus 21 the previous month.
His home state of Victoria gave him the lowest approval rating of 25 per cent, with 50 per cent disapproving.
There were no significant differences between the two other largest states with 49 per cent disapproving in NSW (29 per cent approve) and 48 per cent disapproving in Queensland (28 per cent approve).
Asked who is the better prime minister, Mr Shorten rated 35 per cent while Mr Abbott scored 32 per cent and 32 per cent of voters said "don't know".
Treasurer Joe Hockey's disapproval rating has risen from 28 per cent just after the 2013 election to a high of 52 per cent this month, with 30 per cent of voters approving his performance.
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