Queensland Police have charged tennis star Bernard Tomic over a driving incident on the Gold Coast last week.

The 19-year-old was pulled over and fined twice in less than two hours on Australia Day.

Police say he then crossed over double lines and did not stop when officers tried to pull him over.

He has been served a notice to appear in the Southport Magistrates Court on February 14 on charges of failing to keep to the left and failing to stop a motor vehicle.

Last week the Tomic family said it was considering laying a complaint against police after being issued with the traffic infringement notices.

Tomic has a special exemption to drive his high-powered $150,000 BMW to and from tennis training and other activities directly related to his tennis.

The car's speed is electronically limited, although its top speed still exceeds 250 kilometres per hour.

Tomic was investigated over complaints of hooning last month but denied the claims, arguing he was the victim of a vendetta by a Gold Coast police officer.

He said at the time the officer who accused him of hooning had told him he wanted to put him in the newspapers.