Embattled Queensland MP Billy Gordon has called for a police probe into the leaking of confidential federal documents that identify his children, vowing that Opposition Leader Lawrence Springborg must "account for his actions".

Mr Gordon, who is the independent Member for Cook in far north Queensland, quit the Labor Party last month, following allegations of domestic violence and not paying child support.

In a statement, Mr Gordon has since criticised Queensland Opposition Leader Lawrence Springborg of "gutter politics" and wants the Parliament and police to investigate.

"I condemn the gutter tactics of Lawrence Springborg, who has disseminated confidential information about my two young children for political gain," Mr Gordon said.

"This is the man who is a pretender for the premiership of Queensland.

"But by showing he'll do anything to get me out of Parliament and force his way into the premier's suite, he has disqualified himself from high office.

"His actions disgust me - how would he feel if his political opponents used his children's confidential details as smear tactics?

"I will do everything I can to hold this man to account for his actions, which have grievously hurt me and my young children, whom I love dearly."

Mr Gordon also said he planned on writing to the head of the Child Support Agency, seeking an internal and federal police probe into the leaking of documents.

He said he would also ask the Speaker of the Parliament, Peter Wellington, to refer Mr Springborg to the Parliamentary Ethics and Privileges Committee.

Documents released for background: Springborg

Mr Springborg today defended the release by his office of copies of Mr Gordon's former partner's child support statements to journalists.

Mr Springborg defends the release of copies of Mr Gordon's former partner's child support statements to the parliamentary media gallery. ( ABC News: Chris O'Brien )

He said the information was for background, not publication.

"Those documents were distributed to actually indicate quite clearly that this matter, which Mr Gordon and the Premier had said had been dealt with, was not dealt with," Mr Springborg said.

"They were distributed by way of background information, with no expectation that they were being published, and that was the information that was given to the [media] gallery at the time."

Mr Gordon said Mr Springborg's actions showed a total ignorance of the workings of the child support system in Australia.

He said child support debts were debited on the ledger and then credited on the ledger some time after the payment was automatically deducted from a person's income.

"These appalling tactics by the Opposition Leader are the most base gutter politics," he said.

"[Mr] Springborg should face the full force of the law, and his actions condemned by the Parliament."

Earlier, Premier Annastacia Palaszczuk also said Mr Springborg's office had circulated the information to members of the press gallery.

She said the documents should have remained confidential and the Opposition's involvement in the Gordon case was highly questionable.

Ms Palaszczuk said she supported an investigation into the leak.

"That is the correct course of action to take - to raise it directly with the Child Support Agency because [the Opposition] are entering now new territory in terms of releasing information and backgrounding journalists," she said.

She said it was an "atrocious act".

"This is an all-time low - it is disgraceful and if this action was being taken by any member of Parliament it is the right course of action to take, because what we are seeing now is the same old LNP back in town," she said.

"I want to ask Queensland families sitting at home tonight how would you feel as a mother or a father paying child support to have your personal details handed around to the media, personal details about your children."