“It feels amazing. I wouldn’t say a perfect race because of lap one again, but it was still beautiful. The pace was strong, the car was unbelievable,” said Norris, who took his first win in Miami in May.
“I could push and get past Max. It was a straightforward race. Tough but enjoyable.”
Norris had started on pole for the fourth time in his career and Sunday’s race on the breezy Dutch coast, in front of his rival’s Orange Army of fans, was the first time he had converted the advantage into victory.
It looked at the start that he might have thrown it away once again, the 24-year-old Briton making a sluggish start off the line as Verstappen hit the throttle and led decisively into turn one.
The McLaren clearly had the pace as well as the drag reduction (DRS) advantage, however, and after one probing attempt on lap 17, Norris went past down the inside at turn one and pulled steadily away.
Norris also took a bonus point for fastest lap with a final flourish and was voted Driver of the Day by fans.
“You always hope to do better. We had a good start and tried everything we could but it was clear we were not quick enough,” said Verstappen.
Ferrari’s Carlos Sainz was fifth with Red Bull’s Sergio Perez sixth.
The Mercedes pair of George Russell and Lewis Hamilton finished seventh and eighth with Alpine’s Pierre Gasly ninth - and lapped - and Fernando Alonso taking the final point for Aston Martin.