The Palaszczuk government has dropped to its lowest level of support since the 2015 election, as voters begin to look for alternatives less than halfway into Labor's term.

The latest Galaxy Poll, first published by News Corp, shows Labor's primary support has dropped to 36 per cent. It won government with 37.5 per cent of the vote and was helped across the line through preferences and the support of independents.

Annastacia Palaszczuk: "She will need to get her facts right before she begins calling for the abolition of the Family Court." Credit:Alex Ellinghausen

Under the previous voluntary preferential voting system, if an election were held this week, the LNP would win 53 to 47.

The compulsory preferential system brings that to 52 to 48, but still in the LNP's favour.