Katter's Australian Party has referred Queensland Premier Annastacia Palaszczuk and three members of the opposition, including its leader, to the corruption watchdog after its staff were axed.

Ms Palaszczuk will take away four staffers granted to the minority party during the last term of government after it backed federal KAP Senator Fraser Anning's inflammatory speech to Federal Parliament.

Robbie Katter (centre, with fellow KAP MPs Shane Knuth and Nick Dametto) says he has referred Premier Annastacia Palaszczuk to the CCC. Credit:Dan Peled/AAP

Senator Anning used the Nazi-associated phrase "final solution" and called for a ban on Muslim immigration.

But KAP Queensland leader Robbie Katter said Ms Palaszczuk may have broken the law when she threatened to cut staff if the party did not condemn Senator Anning's remarks.