Had the result stood as the cars finished the race, Norris would have had a 30-point lead over Piastri and 42 over Verstappen.
At the start, Norris was true to his claim that he was "not here not to take risks" as he fought hard to defend his advantage from pole position from Verstappen.
But after an aggressive cut in front of Verstappen to head off the Dutchman's attack on the inside, Norris misjudged his braking point and ran deep into the corner.
That allowed Verstappen to drive past into the lead while Norris also lost second place to Russell.
Through two virtual safety cars for some early incidents, including at the start when Racing Bulls' Liam Lawson collided with Piastri, Verstappen slowly stamped his authority on the race.
Russell made an early pit stop for the hard tyres, but Norris and Verstappen stayed out.
Norris stopped five laps after the Mercedes and Verstappen 10.
Verstappen was able to rejoin still in the lead, Russell having been unable to close in on the Red Bull despite his fresher tyres.
Norris rejoined behind Russell from his stop but after a few cautious laps to allow his tyres to settle, soon closed his 3.3-second deficit to the Mercedes and swept by into second place on lap 34.
Norris asked his engineer how to run the rest of his race, effectively asking whether he should settle for second or attack.
He was told to "go and get Max" but it soon became clear he had no chance. Verstappen was easily able to repel Norris' attacks, and in the closing stages the margin extended significantly as the McLaren began to suffer what at the time the team described as "a technical issue".
Norris was told to back off, an attempt to reduce the wear on the skid blocks by 'lifting and coasting' at the end of the straights.
This is where a driver backs off the throttle earlier than if he was pushing flat-out, coasting for a while and then braking.
It is a common technique for saving fuel. In this case, lifting early reduces top speed, which reduces downforce, so the car does not run as low for as long.
Despite losing nearly three seconds a lap, Norris was able to hold off Russell because of the size of the advantage he had built while chasing Verstappen.
The Red Bull driver's sixth win of the season - only one behind both of the McLaren drivers - was taken in emphatic style and keeps him in title contention, even if he requires Norris to have more problems to overtake him.
"It's still a big gap. We always try and maximise everything we've got," Verstappen said after his win, but before the news of the disqualifications came through.
"In upcoming weekends we will try and win the race and at the end of Abu Dhabi we will see where we end up, but I'm very proud of everyone."