In an incident-packed, rain-affected race, Vettel fought back to finish sixth after dropping to last on lap one following a collision.
His rival Fernando Alonso of Ferrari finished second, meaning he needed Vettel to be lower than seventh.
McLaren’s was hit by Force India’s Nico Hulkenberg.
The German was trying to pass Hamilton for the lead with 27 laps to go but lost control on the slippery track and slid into the side of Hamilton’s car.
Hulkenberg, driving the race of his career up to that point, was given a drive-through penalty and finished fifth, behind Alonso’s team-mate Felipe Massa in third and Red Bull’s Mark Webber in fourth.
Vettel becomes the youngest driver in history to win three world titles – at six years younger than Ayrton Senna. He is only the third driver to win three in succession.
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pic from : thesun.co.uk