Verstappen made a clean getaway from pole position and it took Hamilton all but the last four of the 70 laps to catch and pass the 21-year-old Dutchman. Mercedes got the strategy spot on, despite the Briton's reservations.
Hamilton already had more race wins, pole positions and podium finishes than any other driver in the history of the sport.
Valtteri Bottas ended his year-long drought with a dominant victory in Turkey on Sunday while unhappy Mercedes team mate Lewis Hamilton finished fifth and lost the Formula One championship lead to Red Bull's Max Verstappen.
Mercedes set for proper fight with Ferrari in Melbourne
Hamilton said he had not been feeling well on Thursday and Friday, when he was also up until midnight working with his engineers.
Statistics for Sunday's season-ending Abu Dhabi Formula One Grand Prix at the Yas Marina circuit.
The Mercedes driver is 14 points clear of his rival and fellow four-times world champion after winning in France on Sunday and heads to Spielberg confident of continuing the momentum.
Charles Leclerc took pole position for Ferrari in crash-laden qualifying for the Australian Grand Prix on Saturday, pipping Red Bull's World champion Max Verstappen on the upgraded Albert Park circuit.
Finland's Valtteri Bottas kept champions Mercedes on pole position for the Austrian Grand Prix on Saturday after title-chasing team mate Lewis Hamilton was hit with a five-place grid penalty.
This year marks the first that two quadruple champions are competing in the same season and their battle to see who joins Argentine legend Juan Manuel Fangio in second place on the all-time list with five titles promises to light up the series.
Red Bull's Daniel Ricciardo won a chaotic Azerbaijan Grand Prix on Sunday, with Formula One championship leader Sebastian Vettel finishing fourth after being penalised for swerving into rival Lewis Hamilton who came home in fifth.
Former Ferrari technical director Ross Brawn says 70th Anniversary race winner Max Verstappen reminds him of Formula One great Michael Schumacher. Brawn masterminded Schumacher's seven world championships with Benetton (1994 and 1995) and Ferrari (2000-04) and was team boss at Mercedes when the German made his comeback from 2010-2012.
Formula One photographer Mark Sutton had reported seeing the German getting into the passenger seat of Szafnauer's Ferrari after the race at Silverstone, but was unable to take pictures.
Lewis Hamilton is on course for his most successful campaign yet and can become only the third driver after Michael Schumacher and Sebastian Vettel to win 13 times in a season.
Barcelona were shaken up by Eintracht Frankfurt but took a first step in their bid to reach the Europa League last four as a second-half goal by Ferran Torres salvaged a 1-1 comeback away draw in their quarter-final first leg on Thursday.
McLaren's Lewis Hamilton will start Sunday's Abu Dhabi Formula One Grand Prix on pole position with Red Bull's Australian Mark Webber also on the front row.
Italy's Mugello circuit will make its debut on the Formula One calendar in September to host Ferrari's 1,000th grand prix, the sport announced on Friday, with Russia's race in Sochi also confirmed. The September 13 race, to be called the Grand Prix of Tuscany Ferrari 1,000, will follow on from the September 6 Italian Grand Prix at Monza as the ninth round of a season that has been heavily revised due to the COVID-19 pandemic.
This is the German's 50th career win
The race has been won from pole eight times out of 11 editions.
A round-up of Tuesday's action in the UEFA Champions League.
World champion Lewis Hamilton, back in the car after his COVID-19-enforced absence at last week's Sakhir Grand Prix, was third but only 0.086 seconds off the pace.
For the first time in F1 history, two four-time champions are on the same grid and vying for their fifth title.
Vettel came out on top, giving Ferrari their first pole position since 2012 with a masterful lap around the floodlit Singaporean track.
Launching a scathing attack over his fellow drivers for not presenting a united front on the introduction of Halo device, Ferrari's Sebastian Vettel has favoured the launch of head protection device for the 2017 Formula One season saying nothing could 'justify death'.
'It was probably one of the most difficult decisions to take in my career so far. But I thought that it was time for me to take on a fresh and new challenge'
Dutch teenager Max Verstappen says he has learned from his Monaco Grand Prix crash, with the first lesson being to stay away from walls and barriers.
Lewis Hamilton won the Monaco Grand Prix for Mercedes on Sunday, nursing his car's worn tyres to the finish in a nail-biting victory worthy of the team's late great Niki Lauda.
An ardent fan of F1 driver, Max Verstappen, Yuvraj keenly follows the Scuderia Ferrari Formula1 team.
Daniel Ricciardo is ready for tears, and maybe a few celebratory beers, as the cheerful Australian gears up for his 100th and last race with Red Bull in Abu Dhabi on Sunday.
'The phenomenal Max Verstappen was both sloppy and superb in Germany, getting caught out during the first two starts, and even spinning his car around to give the crowd something to gasp at with a Batmobile-esque 360 degree turn. 'After Hamilton crashed and Verstappen sniffed victory, though, he pounced hard, put his foot down, and took a deserved race win,' says Rediff's F1 columnist Raja Sen.
Hamilton has already won the title, his record-equalling seventh, but the Briton is isolating after testing positive for COVID-19.
Ferrari, whose race on Sunday lasted about 20 seconds until Sebastian Vettel and Charles Leclerc collided, said the team strongly supported diversity and equal opportunities.
Ferrari's Sebastian Vettel put himself on pole position to retake the Formula One lead from Lewis Hamilton after setting the fastest lap in qualifying for the Singapore Grand Prix.
NBA roundup: Hornets spoil Kyrie Irving's home debut
'If we want to go to Asia, or America, I think it's going to be when we get on planes and have to fly overseas where I think the risk will start to potentially get greater.'
The Thai's victory over his Ferrari rival gave Red Bull something to celebrate on a day that should have seen the return of Max Verstappen's home Dutch Grand Prix after a 35-year absence.
Red Bull driver Max Verstappen has received a flurry of criticism from the Formula One world, including legendary driver Niki Lauda who asked him to consult a psychiatrist after the teenage driver was involved in a three-car collision in last week's Belgian Grand Prix.
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.
The partnership is aimed at garnering opportunities both in the football and business spheres for both clubs.
Ferrari's Sebastian Vettel, the Briton's closest rival, finished only sixth after an early collision with Red Bull's Max Verstappen left the German fighting back from 19th place.