Hamilton, the 2008 world champion, was pulled over in his silver 2010 Mercedes-Benz E500 by a Victorian Police divisional van.
Police charged 25-year-old Hamilton with improper use of a motor vehicle and impounded the car for 48 hours.
Senior Constable Scott Woodford said the man was “extremely cooperative” and “fairly disappointed” with the incident.
Woodford reported Hamilton’s rear wheels were skidding as he accelerated out of Albert Park, where the Grand Prix is held.
A Victoria police spokesman added: “The vehicle was seen to deliberately lose traction and was intercepted by police.
“The driver, a 25-year-old man who resides in Switzerland, was spoken to at the scene and is expected to be charged on summons with improper use of a vehicle.”
In a statement issued by McLaren, Hamilton said: “This evening, I was driving in an over-exuberant manner and, as a result, was stopped by the police.
“What I did was silly, and I want to apologise for it.”
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