According to the Fairfax/Nielsen poll, the ruling Labor party's primary vote fell two points to 26 per cent, which is equal to its record low of last July.
However, Gillard disapproval rating remained steady at 60 per cent.
Opposition Leader Tony Abbott's disapproval rating rose to a record high to be just three points behind the Prime Minister's, the poll said.
On a two-party basis, Labor trails 43 per cent - up one point in three weeks - to the coalition's 57 per cent, down one.
According to ABC report, if an election was held now, the Gillard government would be swept from office with a swing of about seven per cent against it.
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The report said that it's not surprising to see voters continue to want Kevin Rudd back - 62 per cent prefer him as Labor leader compared with 32 per cent who prefer Gillard.
But voters are also unhappy with the coalition leadership, with 61 per cent saying they would prefer Malcolm Turnbull as Liberal leader to Abbott's 34 per cent.
The coalition primary vote is down one point to 48 per cent, while the Greens are up two to 14 per cent.