Flashpoint
In only the second championship chase to see the top two enter the final race of the season all square on points, Verstappen had to match Hamilton but struggled to do so for much of Sunday's remarkable race.
Red Bull were furious following an early flashpoint that had Hamilton ahead, yet Mercedes were outraged by the chequered flag as Verstappen, on fresh tyres, was allowed a single lap after a safety car to take the title.
Dutch first
Hamilton fell just short of history on this occasion, stuck on seven titles alongside Michael Schumacher, but there was a new landmark for champion Verstappen.
His 18th podium of the year was undoubtedly the sweetest and made the Dutchman the first man to reach that mark in a single F1 season.
Tough start
Hamilton looked to have done everything right but paid for Mercedes' call not to bring him into the pit lane in the closing stages.
A tough start had been forecast for Hamilton when he stuck with medium tyres while Verstappen - and others close behind - used softs. Instead, rapid reactions at lights out put the Mercedes in front.
Last-lap thriller
Verstappen struggled to find the requisite pace, but was given another lifeline by a safety car with four laps remaining.
Again he pitted as Hamilton did not and a dramatic finish saw lapped cars allowed to pass the safety car, infuriating Mercedes and leaving Verstappen one lap to go at the race leader, who he decisively passed at the last.