Embattled Queensland MP Billy Gordon says he has been cleared of allegations of domestic violence against a former partner.

Mr Gordon quit the Labor Party in March after revelations about his criminal past and accusations of domestic violence, which he has denied.

The now independent Member for Cook said police had told him they would not be taking the matter further.

He said police contacted his lawyers about three weeks ago, but did not want it made public until they had made their final report.

This morning, police released a brief statement in regards to their investigation of allegations against Mr Gordon.

"The QPS investigation is still ongoing and it would be inappropriate to comment further at this time," the statement said.

Mr Gordon said the controversy, which began shortly after he entered State Parliament, had taken a terrible personal toll.

"Behind the scenes it's been quite malicious," he said.

"This was never ever about domestic violence, let's be very clear here.

"There've been a lot of people from inside and outside of politics, former politicians, making a lot of comments.

"The motivations have been less than honourable. Domestic violence has been a victim here just as much as my children have.

"Understanding that, understanding the nature of the beast, understanding the motivations of these people has been a source of strength for me."

'I am a good father, regardless of what people may say'

Mr Gordon said he could categorically state that he had never been the perpetrator of domestic violence.

"I haven't been able to have much contact with my two youngest children in Innisfail while this investigation was underway. I'm really keen to now put in place the necessary steps to ensure I have contact and access with my two children, who I love dearly," he said.

"I'm a good father, regardless of what people may say or think and they know that, they know that I love them.

"That's been the big thing for me. You never want to be the subject of a police investigation, nobody ever wants to be in that position, and in a very public way as well.

"But it wasn't as big a concern as me not having the ongoing contact with my two youngest children particularly."

Police were asked to investigate allegations of domestic violence raised by two of his former partners who also claim he owes them child support.

After allegations about his past were made public, Mr Gordon left the ALP before he was sacked over his failure to disclose a history of juvenile crime to the party before the January election.

As an independent MP he has voted with both the Government and the Opposition on different issues.

Mr Gordon not expected to return to Labor

Public Works Minister Leanne Enoch said it was unlikely Mr Gordon would rejoin the ALP.

"He resigned from the Labor Party so it's unlikely that he would come back into the party.

"I've not been given any more information, official information from the police ... that investigation is still ongoing and so of course we need to let that play out.

"At the time, what had happened [was] a series of events that created a breaking of trust between the Premier and Mr Gordon.

"That's why we ended up in the position that we did and that's, I think, why in the end ... Mr Gordon decided to resign from the party."