Verstappen led from start to finish at Austria's Red Bull Ring, with seven-time world champion Hamilton second for Mercedes.
Bottas said he was already looking forward to next season despite the fact there are still two races left on the current calendar.
Two members of the Haas Formula One team and one from McLaren were quarantined in Melbourne on Wednesday as a precaution amid coronavirus fears ahead of Sunday's season-opening Australian Grand Prix. McLaren said one team member had self-isolated in the team hotel as a precaution for showing 'coronavirus-like symptoms'.
Schumacher turned 50 on January 3 but has not been seen in public
Ferrari chairman Sergio Marchionne said while he supported cost-cutting, there are other strategic issues under discussion that could force Ferrari to consider racing elsewhere.
Sport and society remain stuck in the 'stone age' when it comes to women's rights, Formula One champion Lewis Hamilton said on Thursday.
Red Bull closed the gap to champions Mercedes in the constructors' standings to one point.
Formula One world champion Lewis Hamilton took pole position at the Spanish Grand Prix on Saturday in a Mercedes one-two that ended Sebastian Vettel's bid for a fourth in a row.
One police officer involved was fired by the city's police department in June. Two other officers have been placed on administrative reassignment. No criminal charges have been filed against any of the three.
Formula One motor racing: Team prospects for 2018
Red Bull's Max Verstappen, last year's winner at his team's home circuit, qualified third.
Hamilton held on for fourth, but slipped from 18 to 32 points behind Verstappen in the championship standings.
The strangest of campaigns crammed 17 races, instead of the record 22 originally envisaged, into little more than five months from July with four triple-headers.
While Formula One rivals compete in virtual grands prix and various esports series during the coronavirus lockdown, six-times World champion Lewis Hamilton has been busy racing against himself. The Briton has been a keen gamer since boyhood and for some years a brand ambassador for the Gran Turismo franchise on Sony's PlayStation.
On Sunday the Ukrainian Tennis Federation urged the sport's governing body the International Tennis Federation (ITF) to immediately expel Russia and Belarus from the organisation and ban Russia from team and individual tournaments. Also, athletes from Ukraine and other nations have called on the International Olympic Committee (IOC) to suspend Russia and Belarus and ban their athletes from events immediately.
The six times world champion took the chequered flag at Imola 5.783 seconds ahead of team mate Valtteri Bottas, who started on pole position.
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-backed Thai racer Alex Albon will return to Formula One next season as a Williams driver alongside Canadian Nicholas Latifi, the British-based former champions announced on Wednesday.
Mick Schumacher, son of seven times world champion Michael, made his Formula One test debut with Ferrari on Tuesday at the Bahrain circuit, where 15 years ago his father won the first Grand Prix in the Middle East.
Malaysia will stage its final Formula One Grand Prix in October after the government and the sport's commercial rights holders announced on Friday that their hosting agreement would end a year early.
Schumacher was taken to the Pompidou hospital in southwest Paris on Monday afternoon, Le Parisien said, without citing its sources.
Anahat Singh seals berth for World Junior Squash C'ship after topping selection trials
Red Bull's Max Verstappen won Formula One's 70th Anniversary Grand Prix at Silverstone on Sunday to end Mercedes' run of domination and become champion Lewis Hamilton's closest challenger.
Sunday's Chinese Grand Prix will be the 1,000th race of the Formula One world championship since the first at Silverstone in 1950.
Britain's Formula One world champion Lewis Hamilton claimed the inaugural Athlete Advocate of the Year Award for his involvement in the fight against racism.
The pole was Charles Leclerc's second in a row
Vettel will be sharing Ferrari testing duties with the 20-year-old at Bahrain's Sakhir circuit next week after the second grand prix of the season.
Vietnam is a growing market for sponsors such as brewer Heineken and would be a fifth Asian race on the calendar, making up for the departure of Malaysia.
Red Bull's Mexican Sergio Perez was a distant third, struggling with dehydration after a water bottle failure in the Texas heat.
The Mercedes driver, with a record 94 wins, is the most successful Formula One driver of all time. The following details his progression to the 2020 title.
Mick Schumacher, who is the son of legendary driver Michael Schumacher, has said that Formula One has always been his goal and he is still aiming for the same.
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.
The McLaren Racing team has withdrawn from this weekend's season-opening Australian Grand Prix after a team member tested positive for coronavirus, the team said on Thursday. The positive test at McLaren follows four crew members of fellow Formula One team Haas being quarantined due to the outbreak.
Mick Schumacher stepped into his father Michael's 2004 Formula One championship-winning Ferrari at the German Grand Prix on Saturday and found it a perfect fit.
Silverstone would be willing to host an unprecedented two successive Grands Prix without spectators to help Formula One fight back from the coronavirus crisis, circuit boss Stuart Pringle said on Sunday. The season has yet to start but the Liberty Media-owned sport's management are hoping to get going in the European summer with a revised and reduced schedule that could run into next year.
Formula One will have simpler, cheaper and noisier engines from 2021 as part of a "road map" for the future presented to teams on Tuesday that could entice new manufacturers to enter the sport.
Media reports this week suggested that British energy drink firm Rich Energy was leading a consortium seeking to purchase the Silverstone-based team for 200 million pounds ($278.66 million).
Seven times world champion Lewis Hamilton hunted down Max Verstappen to win the Sao Paulo Grand Prix for Mercedes on Sunday and slash his Red Bull rival's Formula One lead to 14 points in one of the greatest drives of his career.
Summary of sports events and persons who made news on Sunday
George Russell will replace Valtteri Bottas and race for Mercedes next season in an all-British line-up with seven times world champion Lewis Hamilton, the Formula One team said on Tuesday.