With this win, Hamilton has extended his lead over Vettel in the World Drivers' Championship to 24 points.
Vettel, his team mourning the death of former chairman Sergio Marchionne, ended the day with the quickest lap of one minute 16.834 seconds after Red Bull's Australian Daniel Ricciardo led the way in the morning with a best of 1:17.613.
His fight with Valtteri Bottas over second place on lap 65 saw both cars leave bodywork on the track. He got in front of Bottas who then ran into the back of Vettel damaging his front wing. He drove a sensational race and helped Lewis in a way to build a lead. "It's important to capitalise on those hard weekends such as this and I think that's really been a key strength of ours this year", he added.
"Absolutely not, and it is far too early to think about that when you consider the ups and downs we have had this year", he replied. We still have a long way to go.
"Compared to past year, we lost the championship I think because our vehicle wasn't quick enough to be a match in the final part of the season, despite what happened with the DNFs".
Team radio told Bottas to give the position back to Ricciardo, who did well to finish fourth after starting from 12th in the grid. Ferrari had the quickest package after all and Hamilton would be on worn rubber. Stuff happens." "Last year, we lost the championship because our auto was not quick enough in the final part of the season, but this year it is more efficient and it is stronger and still has a lot of potential.More news: Iran’s elite guards shoot down Trump’s meeting offer
"We need to apply more pressure in the second half".
Hamilton was untroubled as he secured a second-straight win, his fifth of the season and 67th overall.
Hamilton has now won five races in 2018 and is relishing the prospect of a stress-free family holiday.
"I don't have a wife and kids so I am still in a fun period", Hamilton, 33, added with a smile.
"It was good we were faster and could pull a gap to Valtteri", Vettel said.More news: Manafort Drops Appeal of Civil Case Against Mueller
Valtteri Bottas his hit reverse gear after reacting angrily to the suggestion he is Lewis Hamilton's "wingman".
Bottas, who finished fifth after a late pit stop following two collisions while running on severely worn old tyres, was upset when Wolff's comments were put to him.
But Wolff defended his remarks about Bottas, and said they had been misinterpreted.
"That's exactly why things that are not being discussed directly face-to-face are being completely spun out of control in the wrong way", said the Austrian.
"I have not called a meeting with the bosses for Toto saying I was the flawless wingman in this race", Bottas's statement said.
In his other two championship-winning years with Mercedes, 2015 and 2017, he took five wins from six races immediately after Hungary and was hopeful of similar this year.More news: Our Favourite Photos of the 'Blood Moon' Eclipse