The Briton lapped the Albert Park circuit in a searing one minute and 21.164 seconds to cross the line 0.664 seconds clear of Ferrari's Kimi Raikkonen.
Niki Lauda pondered the mystery of the disappearing Mercedes on Sunday after Lewis Hamilton and Nico Rosberg finished one-two in the Japanese Grand Prix but barely featured in television coverage.
Lewis Hamilton took pole position at the Italian Grand Prix for the third year in a row on Saturday with Mercedes team mate and title rival Nico Rosberg joining the Briton on the front row of the grid.
Felipe Massa said farewell to thousands of Ferrari fans in Italy on Sunday and received a trophy nearly as tall as him to celebrate his time with the Formula One team.
Formula One's post-season shake-up took another spin on Tuesday with Williams announcing the departure of technical head Pat Symonds while Valtteri Bottas moved closer to Mercedes and Felipe Massa's retirement looked to be coming to an end.
Marussia will race with only one car in Sunday's Russian Formula One Grand Prix out of respect for their severely injured French driver Jules Bianchi, the team said on Friday.
Max Verstappen was compared to Formula One greats Ayrton Senna and Michael Schumacher on Sunday after the Dutch teenager's sensational drive to third place in a wet and chaotic Brazilian Grand Prix. Even father and former racer Jos, the 19-year-old Red Bull driver's biggest fan and fiercest critic, was astonished. "What Max showed here today was really special," he said of a race likely to go down in the sport's annals as one for the ages. In the last 15 laps, after a change to extreme wet tyres, Verstappen passed more than half the starting grid as he went from 16th place to the podium.
The family of the late French Formula One driver Jules Bianchi are planning legal action against the sport's governing body, his former Marussia team and Bernie Ecclestone's Formula One Group, they said in a statement on Thursday.
'McLaren car is 100 percent ready'
The Brazilian Grand Prix at Sao Paulo's Interlagos circuit could be axed after this season due to the country's economic crisis, Formula One's commercial supremo Bernie Ecclestone said on Saturday.
The 2019 Formula One world championship starts on March 17 with 21 races in a season that ends later than any since 1963.
The father of French Formula One driver Jules Bianchi says he is "less optimistic" that his son will recover from the severe head injuries he suffered in a Japanese Grand Prix crash last October.
Germany's Nico Rosberg put Mercedes on pole position for the US Formula One Grand Prix on Saturday with championship leading team mate Lewis Hamilton qualifying second. Mercedes-powered Williams filled the second row with Finland's Valtteri Bottas third fastest and Brazilian Felipe Massa fourth.
Lauda was so badly injured in that accident at the 1976 German Grand Prix that a priest gave him the last rites as he lay in a coma.
India has no Formula One driver and there will be no Grand Prix here next year but Force India co-owner Vijay Mallya believes he has unearthed the country's next driving talent in a Mumbai teenager.
Red Bull's Mark Webber faces a 10-place grid penalty at the Korean Grand Prix after being reprimanded for hitching a lift on Fernando Alonso's Ferrari at the end of Sunday's race in Singapore.
Summary of sports events and persons who made news on Sunday
Formula One is braced for the next episode of the Max Verstappen show as Red Bull's teen sensation heads for Ferrari's home circuit only days after making the Italian team's drivers see red. While triple world champion Lewis Hamilton is aiming for his 50th grand prix win on Sunday, to become the first since Argentine Juan Manuel Fangio in the 1950s to win three years in a row at Monza, Verstappen will be the talk of the town.
Lewis Hamilton has competed with Alonso, Raikkonen, Button, Rosberg, Schumacher and Vettel, champions all of them, and he has come out on top.
Retired seven-time Formula One world champion Michael Schumacher was in 'critical' condition with head injuries after an off-piste skiing accident in the French Alps resort of Meribel, his agent said on Sunday.
'It's still a long way to go and I know I lost some points today but I was fast and on form and I will make sure I bring that out to Suzuka to fight back'
Formula One world champion Lewis Hamilton won the Belgian Grand Prix from pole position on Sunday to increase his lead over Mercedes team mate Nico Rosberg to 28 points with eight races remaining.
Max Verstappen's sensational first Formula One victory, at just 18 years of age, had former champions and grandees of the sport casting around for superlatives at the Spanish Grand Prix on Sunday.
Mercedes' British driver Lewis Hamilton won the Brazilian Grand Prix at the Interlagos Circuit in Sao Paulo on Sunday to keep the Formula One Championship alive with one race left this season.
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.
Formula One world champions past and present paid their respects to Jules Bianchi and mourned one of their own at the French driver's funeral on Tuesday.
Ferrari's Fernando Alonso congratulated Red Bull's Sebastian Vettel on his fourth successive Formula One world title on Sunday but reserved judgement on where the German stood among the greats.
Germany's Nico Rosberg celebrated a surprise hat-trick of Monaco Grand Prix victories on Sunday after Mercedes blew championship-leading team mate Lewis Hamilton's chances with a needless pitstop.
Lewis Hamilton became Britain's first four-times Formula One world champion on Sunday after fighting back from last place following an opening-lap collision with arch-rival Sebastian Vettel at the Mexican Grand Prix.
The 30-year-old, who could clinch his third world title within a matter of weeks, told British reporters at the Russian Grand Prix that he would always owe an immense debt to his former McLaren boss Ron Dennis.
'I watched Senna as a child and it would be an honour to match him. Now I'm just one win away but I hope to do even better'
One winning streak ended with a bang for Nico Rosberg in Spain but Monaco's tight, metal-fenced streets could see the continuation of another remarkable run for the Formula One championship leader on Sunday.
Lewis Hamilton enjoyed an utterly dominant Italian Grand Prix victory on Sunday to take a 53-point lead in the Formula One championship after Mercedes team mate and closest rival Nico Rosberg retired with his engine in flames.
Formula One is as safe as it has ever been but danger will always be part of the sport.
Formula One and the wider world of motorsport mourned the death of young Frenchman Jules Bianchi on Saturday.
French Formula One driver Jules Bianchi has died of critical head injuries.
The pole was Hamilton's eighth in nine races this season and the 46th of his career for the championship leader, who won at Silverstone last year and has a 10 point advantage over the German.
An FIA report found that Marussia driver Bianchi over-controlled the oversteering car, such that he left the track earlier than Sutil, and headed towards a point 'up-stream' along the barrier.
Honda's new V6 turbo hybrid Formula One engine will make its track debut at Silverstone on Friday in the back of a McLaren development car.
Nico Rosberg won the Brazilian Formula One Grand Prix for the second year in a row on Sunday and denied Mercedes teammate Lewis Hamilton a first success in the homeland of his late hero Ayrton Senna.