Just 19 per cent of voters prefer Lara Giddings as premier.
The Labor Government has slumped to new lows in the latest round of public opinion polling.
The ALP was the first preference of just 16 per cent of voters in the latest EMRS poll released today - down three percentage points on the last poll in May.
The Liberal party recorded a six percentage point rise to 44 per cent and the Greens fell three points to 14 per cent.
When undecided voters are excluded, the ALP vote lifts to 22 per cent, the Liberals to 55 per cent and the Greens 18 -- indicating the Liberals could likely have formed majority government if an election was held earlier this month.
Lara Giddings' support as preferred premier has dropped to 19 per cent, down three points, while Liberal leader Will Hodgman is up 10 to 52.
The poll of 1000 people was carried out last weekend.