Hamilton started from second place, but dropped behind both Red Bull drivers at the start.
He fought back to pass Mark Webber early on and hound race leader Sebastian Vettel, passing the German on Lap 42.
"I’m massively proud and extremely happy. I nearly lost my voice because I was screaming so much on the in-lap – not cool at all!"
"To overtake both Red Bulls in the race was the coolest thing for me. The backmarkers really came into play today – and, finally, they worked in my favour. I’ve often been caught out when I’ve been trying to get through traffic, but things finally went my way today", he said.
Hamilton added that his race winning pass was very close with Vettel.
"When Seb [Vettel] was delayed by a backmarker, I knew I had to grab my chance, so I turned the engine up to maximum revs and pushed like crazy. Along the back-straight I went to the to the outside, but Seb closed the door, so I moved to the inside, and he came back towards me. I was very lucky. It was very close".
"What made the difference today between Seb and me? I wanted it more, that’s what!"
Hamilton added that he now wants to leave McLaren on a high.
"I won the last United States Grand Prix, in 2007, so, to come back and win it again – in front of such a great crowd – feels very special indeed. There are a couple of grands prix that are somehow out on their own: there’s Monaco, Silverstone, Montreal, Spa and Monza. Now you can this circuit to that list – it’s already one of the best racetracks in the world, maybe even right up there in the top three".
"It’s a brilliant feeling to be finishing the season on a high. Hopefully, we’ll go to Brazil next week with the same level of performance – I’d love to win my final two races for Vodafone McLaren Mercedes".