Verstappen led from start to finish at Austria's Red Bull Ring, with seven-time world champion Hamilton second for Mercedes.
Sebastian Vettel lost his second-place finish after being disqualified by stewards for a fuel irregularity.
IMAGES from the Silverstone F1 GP on Sunday
Hamilton held off a mid-race challenge from Red Bull's Max Verstappen to register a record-equalling fourth triumph at the floodlit Marina Bay Street Circuit track, while Vettel finished third to slip further behind in the title race.
In the constructors' standings, Red Bull have 511 points to Ferrari's 376.
Hamilton already had more race wins, pole positions and podium finishes than any other driver in the history of the sport.
'I was actually with Serena last week in LA ... she came out to Mexico (for the race) which for me was a real honour to have someone of her power, someone who has achieved so much' 'Venus talks a lot about wisdom and about her growth and about the process of being a sportsman or sportswoman so generally from both of them, I take a lot of inspiration and admire them both hugely'
Formula One championship leader Nico Rosberg stormed to pole position for the Chinese Grand Prix in a mixed Saturday qualifying session for Mercedes, with world champion Lewis Hamilton left at the back of the grid after engine trouble prevented him setting a time.
Nico Rosberg's hopes of a third successive Austrian Grand Prix win took a hit on Saturday when he crashed in final practice and damaged his Mercedes' gearbox, incurring a five-place grid penalty.
Max Verstappen took pole position on Saturday in a wet qualifying for a Canadian Grand Prix
Perez, who vaulted to fourth in the overall standings after Sunday's race, is the first Mexican driver to win a race since Pedro Rodriguez took victory in the 1970 Belgian Grand Prix.
Red Bull closed the gap to champions Mercedes in the constructors' standings to one point.
Formula One champion Lewis Hamilton crashed into the tyre wall but still stayed top of the timesheets after a rain-lashed Canadian Grand Prix practice on Friday.
Even in adversity, with Mercedes teammate Lewis Hamilton romping to five wins in a row and a 24-point lead in the Formula One championship, Nico Rosberg can see the funny side of the situation.
Germany's Nico Rosberg celebrated his first Formula One world championship on Sunday after finishing runner-up in a tense Abu Dhabi Grand Prix won by Mercedes team mate Lewis Hamilton amid accusations of 'dirty tricks'.
Sebastian Vettel is Ferrari's first choice to partner Charles Leclerc next year, team boss Mattia Binotto said on Tuesday, despite speculation that they want six times world champion Lewis Hamilton. The 32-year-old German had a difficult and disappointing 2019 season, outperformed by Leclerc in the young Monegasque's first year at Ferrari, and is out of contract at the end of 2020. Hamilton is in a similar position with Formula One champions Mercedes, although the Briton is expected to stay, and met Ferrari chairman John Elkann last year.
Max Verstappen put Red Bull on pole position for his home Dutch Grand Prix at Zandvoort for the third year in a row
The 35-year-old recently took part in a 'Black Lives Matter' march in London but said he was supporting racial equality rather than taking any political stance.
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.
In a race of safety cars and surprises, Verstappen's former team mate Pierre Gasly made a first podium appearance in second place for Red Bull-owned Toro Rosso, a rare Honda-powered one-two.
Charles Leclerc seized pole position for the Italian Formula One Grand Prix and sent Ferrari hopes soaring on Saturday while Mercedes' George Russell joined him on the front row once penalties were applied.
Red Bull's Dutch 20-year-old Max Verstappen took the chequered flag in second place with Kimi Raikkonen completing the podium for Ferrari and Australian Daniel Ricciardo finishing fourth for Red Bull.
Newly-crowned Formula One champion Nico Rosberg issued a stinging rebuke to Niki Lauda after the Mercedes boss slammed the former for leaving the team in the lurch by announcing a sudden retirement from the sport.
Vettel came out on top, giving Ferrari their first pole position since 2012 with a masterful lap around the floodlit Singaporean track.
Red Bull's double World champion Max Verstappen won the Mexico City Grand Prix on Sunday to set a Formula One record of 14 victories from a single season, as well as the most points scored.
Hamilton's team mate Valtteri Bottas finished third, ahead of Ferrari's Charles Leclerc, in a race aimed at providing more thrills for fans over the three days of track action and potentially shaking up the starting grid.
Triple Formula One world champion Lewis Hamilton hailed his 'fantastic' Mercedes after wrapping up the first pre-season test with another 99 laps before lunchtime on Thursday.
'Every great Formula One season is marked by a great rivalry. Last year it was our internal battle between Lewis and Nico and this year it seems that the fight is on between Ferrari and Mercedes and Lewis and Sebastian'
World championship leader Nico Rosberg ended the opening day of practice for the Formula One Japanese Grand Prix in a strong position after setting the pace in both sessions on Friday.
Ricciardo, in blistering form since Thursday practice around the streets of the tiny Mediterranean principality, made sure of the top slot for his team's 250th race start with a quickest lap of one minute 10.810 seconds.
The Briton had won his own fifth championship in Mexico two weeks previously but the broader celebrations were kept in check until Interlagos.
Lewis Hamilton won a crazy, twice-halted Saudi Arabian Grand Prix for Mercedes on Sunday to go level on points with Red Bull rival Max Verstappen and set up a winner-takes-all title showdown.
Hamilton responded to Mercedes motorsport head Toto Wolff who said that driver discord was a major weakness in the team and that they wanted 'nice guys'
Britain and Mercedes racer Lewis Hamilton has revealed that his remarkable Formula One title surge began with a 'kick up the backside' from his father.
Triple Formula One champion Lewis Hamilton expressed 'pure respect' for Mercedes team mate Nico Rosberg on Wednesday after the pair cleared the air following their Spanish Grand Prix collision.
World champion Lewis Hamilton topped the timesheets for Mercedes in both practice sessions of the Australian Grand Prix on Friday but team mate Nico Rosberg crashed as waterlogged conditions put a dampener on Formula One's season opener.
A mix of interesting events, coupled with big, shocking results, in the sporting world, grabbed headlines last week. From Manchester United being stunned by Watford to lose their third consecutive match to Nico Rosberg taking the World Championship lead from Mercedes teammate and rival Lewis Hamilton by clinching the Singapore Grand Prix. The Rio 2016 Paralympic Games were brought to a close inside a packed Maracana Stadium on Sunday evening. Not before, we witnessed some enthralling action.
Lewis Hamilton collected his champion's trophy at a glittering gala in Paris after ending the year in touching distance of Michael Schumacher's records for wins and titles.
Lewis Hamilton won in Sunday's Azerbaijan Grand Prix ahead of Kimi Raikkonen and took championship lead.
Lewis Hamilton's Formula One rivals should beware the backlash because the four-times world champion's dip in form will not last long, his former Mercedes team mate Nico Rosberg has warned.
