His nearest title rival, Mercedes team-mate Nico Rosberg retired with a blown engine with two laps to go when placed third.
There was confusion in the immediate aftermath when Mercedes were summoned to the stewards to explain the possibility Hamilton's car had been running on lower than allowed tyre pressures.
"We got word towards the end of the race that some cars tyre pressures were being checked, and have been summoned to the stewards," Mercedes chief Toto Wolff explained.
His points margin makes him a clear favourite to defend his crown and claim his third world title during the seven remaining races of the season.
The newly-blond defending two-time world champion came home 25 seconds ahead of Sebastian Vettel of Ferrari with former local hero Felipe Massa finishing third for Williams, repeating his podium of last year.
For Ferrari, it was a day to celebrate as Vettel revelled in his first race for the team on their home track.
"Those last few laps were not cool man," Hamilton told his engineer over the team radio in reference to being told to push hard - perhaps to offset any potential penalty imposed over illegal tyre pressure.
Behind Massa, Finn Valtteri Bottas came home fourth in the second Williams ahead of Kimi Raikkonen - who stalled on the first row - in the second Ferrari and Mexican Sergio Perez of Force India.
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