The McLaren star recovered from a dreadful start to pass title rival Max Verstappen on Lap 18, before racing clear of the Red Bull driver to take the chequered flag.
Charles Leclerc came home in third, ahead of Oscar Piastri and team-mate Carlos Sainz, who rounded off the top five.
Norris' triumph at the defending champion's home circuit reduced the gap at the top of the drivers' standings, as he lay down a marker ahead of the final nine races of 2024.
Lando Norris closed the gap on title rival Max Verstappen with his win in ZandvoortIt was the Brit's second win of the season after clinching a maiden career victory in Miami
Norris display demonstrates title credentials
It was the Brit's second career victory, having clinched his maiden win earlier this season in Miami.
It's now six races without a win for Verstappen, and while he remains favourite to retain his crown this season, is facing considerable pressure for the first time in many years.
The Dutchman aired his frustrations in Zandvoort over team radio, bemoaning the performance of his tyres and lack of pace as the race progressed.
And it was that lack of pace which allowed Norris to open up a sizeable gap, and ultimately finish almost 23 seconds ahead.
The official F1 X account shared an image of Norris shortly after Sunday's showpiece, suggesting his flawless display was a ''statement' to his challengers.
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