Queensland Police Minister David Gibson has quit after just 14 days in the job after he told his leader Campbell Newman that he had driven a car while his licence was suspended.

Mr Gibson tweeted his shock resignation and also issued a statement explaining the circumstances.

He said he was unaware his licence had been suspended because he had not received any paperwork at the time.

"Knowing the high standards that are expected of ministers I believed I could no longer fulfil the role as Minister for Police and Community Safety and tendered my resignation," Mr Gibson said.

"I deeply regret this incident and intend to take some leave over the next few weeks and ask the media to respect the privacy of my family and myself."

Mr Newman said that Mr Gibson's licence was suspended in November for three months because he had not paid a speeding fine.

"During that time, it is alleged Mr Gibson on one occasion drove a motor vehicle and will now face a possible charge of unlicensed driving," the premier said in a statement.

"Mr Gibson maintains he was unaware of the correspondence informing him of his licence suspension.

"However, Mr Gibson knows of the high standard I expect from my ministers, and so he has tendered his resignation, which I have accepted."

Mr Newman will appoint a new police minister on Tuesday.