The 31-year-old Briton won in Brazil for the first time at the 10th attempt to complete a hat-trick of consecutive wins and keep alive his championship defence, taking the title battle down to the wire at the final race, the Abu Dhabi Grand Prix on November 27.
"I'm hunting and all I can do is what I am doing," said a delighted Hamilton, who trails his Mercedes team-mate and championship rival Rosberg, who finished second on Sunday, by 12 points with one race remaining.
His 52nd win from his 60th pole position lifted Hamilton one clear of four-time champion Alain Prost in the record books, leaving only one driver ahead of him with more wins -- seven-time champion Michael Schumacher on 91.
Knowing he had to win to keep his title challenge alive, Hamilton -- his racing helmet redesigned in tribute to Senna -- drove with supreme concentration to claim a flawless victory in a dramatic race littered with accidents and stoppages amid the rainstorms.
"I appreciate all the support and they are so welcoming to us here. I was generally just chilling up front and when it rains it is usually a good day for me."
He added: "A big thank you to my team. We are creating history. It is just incredible and I am so proud to be part of it. No mistakes, no dramas, no spins.