Cook MP Billy Gordon claims he has been advised he has been cleared of any charges following a two-month police investigation into allegations of domestic violence.

However a police spokeswoman said the investigation was ongoing.

Bill Gordon says he's clear of charges of domestic violence, but police say the investigation continues.

Mr Gordon, who stood down from the Labor Party in March ahead of his expulsion for "dishonesty" told his local News Corp paper he would not be charged.

The first week of Queensland's new hung parliament in March ended in shambles when Mr Gordon was made to make a "personal explanation" after it was revealed he owed thousands of dollars in child support to two of his children by a former partner.