Norris finished the race in the first position in Circuit Zandvoort, near the North Sea coastline, completing the 72-lap GP in an hour, 30 minutes, and 45 seconds.
Red Bull's Max Verstappen finished 22.896 seconds behind Norris while Ferrari's Charles Leclerc completed the race third with a difference of 25.439 seconds.
Max Verstappen, the three-time Formula 1 world champion, currently leads the driver standings with 295 points, having secured seven victories this season.
McLaren's Norris and Mercedes' Lewis Hamilton have claimed two podium finishes this year.
Other race winners this season include George Russell, Carlos Sainz, Oscar Piastri, and Charles Leclerc each with one victory.
Italy will host the next Grand Prix on Sept. 1.
Driver standings
1. Max Verstappen (Netherlands): 295
2. Lando Norris (Great Britain): 225
3. Charles Leclerc (Monaco): 192
4. Oscar Piastri (Australia): 179
5. Carlos Sainz (Spain): 172
Constructor standings
1. Red Bull: 434
2. McLaren: 404
3. Ferrari: 370
4. Mercedes: 276
5. Aston Martin: 74
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