Finnish team mate Kimi Raikkonen, who started on pole for the first time in nine years but lost the lead in the pitstops, made sure of a Ferrari one-two with Hamilton finishing seventh for Mercedes after starting 13th.
The FIA said the stewards concluded after a telephone hearing that the brake bias system "used innovative solutions to exploit certain ambiguities" and did not breach the technical regulations.
Head coach Ravi Shastri lauded the mindset of the team, which he said, is never perturbed by the conditions it encounters whether at home or abroad.
Marchionne writes off Ferrari's season of failure
The 35-year-old Williams driver, who won 11 races for Ferrari between 2006 and 2008 and finished overall runner-up to Lewis Hamilton in the 2008 world championship, is out of contract at the end of the year.
A weekend that began at the top of the timesheets for Max Verstappen ended with the Dutchman out of the points and in a war of words with Ferrari rivals after a nightmare Belgian Formula One Grand Prix.
Formula One champion Lewis Hamilton won the Hungarian Grand Prix for a record seventh time on Sunday and extended his title lead to 62 points after relentlessly reeling in Red Bull's Max Verstappen.
Hamilton has won half of the season's 20 races so far, propelling his team to an unprecedented sixth successive title double, but Brazil was a disappointing weekend with Valtteri Bottas retiring.
The 21-year-old is the first Ferrari driver since seven times champion Michael Schumacher to take four consecutive poles in a single season.
Credit rating agency Moody's changed Formula One's outlook to negative from positive on Thursday to reflect the impact of the coronavirus crisis on a global sport that has yet to race in 2020.
Fernando Alonso led a Ferrari one-two in the German Grand Prix on Sunday after denying Brazilian team-mate Felipe Massa an emotional victory one year on from a near-fatal crash.
Michael's son Mick racing in Formula Two and Ralf's son David taking the Formula Three seat in Russian Grand Prix support races this weekend
The 92nd Academy Awards nominations have been announced at the Samuel Goldwyn Theatre in Beverly Hills, Los Angeles.
The German, whose last victory was in Belgium in August 2018, took the chequered flag 2.641 seconds ahead of Monegasque team mate Charles Leclerc, who had started on pole position for the third race in a row.
'Just the fact that people have mentioned it, it's already an honour, but it's not been something that I've been chasing in my life'
The pole was the second of the Dutch 22-year-old's Formula One career and the first in Brazil for engine partners Honda since the late triple champion Ayrton Senna in 1991 with McLaren.
Former world champion Kimi Raikkonen has renewed his contract with Ferrari and will race for them again next season, the Formula One team said.
Force India's Sergio Perez refused to rule out a move to Ferrari on Thursday, even though he denied any contact with the Italian Formula One team and said the rumours about his future reflected his form.
Schumacher was taken to the Pompidou hospital in southwest Paris on Monday afternoon, Le Parisien said, without citing its sources.
Valtteri Bottas won the battle but Lewis Hamilton won the war, securing his sixth Formula One world championship on Sunday, despite finishing second to his Mercedes team mate at the US Grand Prix.
Mercedes's Valtteri Bottas snatched pole position for the US Grand Prix on Saturday, breathing life into his remote title hopes while signalling to Lewis Hamilton he will not be gifting a sixth drivers' crown to his team mate.
Austin is a favourite track for the 34-year-old Mercedes driver and he will also be fancied to round up his Texan win tally to six on Sunday.
Sebastian Vettel offered one of Formula One's more exotic excuses on Sunday by saying he had lost time in the Canadian Grand Prix by saving two seagulls from being flattened by his Ferrari.
Lewis Hamilton won the Mexican Grand Prix for Mercedes after a first-lap scare on Sunday but the Briton will have to wait another week to wrap up his sixth Formula One world championship. Hamilton's 10th win of the season, and 83rd of his career, was also a 100th for Mercedes as a constructor.
'I want everything recyclable, down to deodorant, toothbrush, all these kind of things. I'm trying to make as much change as I can in my personal space'
Formula One legend Michael Schumacher' son Mick is all set to sign a deal with a Ferrari-linked Italian junior team Prema. According to Sport24, Mick's managerSabine Kehm is currently in talks with Prema after the 16-year-old expressed his desire to contest in the Italian series.
Valtteri Bottas roared to victory in the Japanese Grand Prix on Sunday as Mercedes clinched the Formula One constructors' championship for the sixth year in a row.
Ferrari are still waiting to take the fight to Formula One champions Mercedes after a Russian Grand Prix that left even their dominant rivals surprised by the gap in performance.
Formula One team bosses backed the decision of Japanese Grand Prix organisers to cancel all of Saturday's practice and qualifying sessions as the sport hunkered down to ride out Typhoon Hagibis.
Lewis Hamilton led every lap from pole position to chequered flag, banging in a fastest lap for good measure to emphasise his supremacy
Ferrari were already feeling the frustration and Sunday's Chinese Grand Prix added a measure of embarrassment to the mix for Formula One's most successful and glamorous team.
The pole was a record-extending 88th of Hamilton's career and fifth of the season.
Summary of sports events and persons who made news on Sunday.
Ferrari are closer to Mercedes than results have suggested in this season's two races and look like posing a real challenge, according to Formula One world championship leader Nico Rosberg.
Lewis Hamilton lapped fastest overall for Mercedes in Hungarian Grand Prix practice
Sebastian Vettel led a Ferrari one-two at the top of the timesheets in final practice for the Bahrain Grand Prix on Saturday, ending the stranglehold of previously dominant champions Mercedes. Vettel lapped the Sakhir Circuit in a best time of one minute 31.683 seconds, 0.040 faster than team mate Kimi Raikkonen on the supersoft tyres. It was the first time this season that any driver from outside the Mercedes pairing of Nico Rosberg and triple world champion Lewis Hamilton had ended practice on top. Hamilton was quickest in all three sessions in Australia two weeks ago while championship frontrunner Rosberg led his team mate in Bahrain practices one and two on Friday. Rosberg was third fastest in practice three, his time of 1:32.104 slower than Friday when he did 1:31.001, with Hamilton fourth.
Aryna Sabalenka moved one step closer to defending her Wuhan Open crown after dispatching world number one Ash Barty in straight sets with a 7-5 6-4 victory in the semi-final on Friday
'Everyone at home has a very strong point of view about how it should have been.' 'So opinions clash, points of view clash.' 'Everyone will have their favourites, and that '"I didn't like that moment in your performance".' '"This was such a kaam-chalao thing you did".'
Red Bull's Max Verstappen won a wet and crazily chaotic German Grand Prix littered with crashes and safety car periods on Sunday with Mercedes' Formula One leader Lewis Hamilton failing to score.
The race has been won from pole eight times out of 11 editions.