Lewis led away from pole and dictated the race to score his sixth win of the 2017, and more importantly, take the lead of the Drivers' Championship for the first time this season.
The triple World Champion now heads title rival Sebastian Vettel by three points at the top of the standings.
"This is obviously an incredibly exciting season; the last two races have been really strong for us as a team," said Lewis.
"The way things have come together in the second half of the season is exceptional. Today, the car felt fantastic, particularly on that first stint. As we had a bit of breathing room behind us, it was easier for us to extend the life of the tyres.
"Valtteri did a fantastic job to get through and get this one-two. It is amazing to have the first back-to-back wins in a long, long time and claim the lead in the championship.
"But the fight will continue, the Ferraris have been really quick this season, especially on the high-downforce tracks. It will continue to be really close between us, so it will be 'beast mode' all the way to the last chequered flag."