At the 120th U.S. Open on 17−20 September 2020 at Winged Foot Golf Club, New York, Norén made the cut at 6 over par with no margin. In the third round, under tough conditions, he shot a 3-under 67, the second lowest round of the day, advancing to 11th place. He finished the tournament a career best tied 17th at 8 over par, 14 strokes behind winner Bryson DeChambeu, but only six strokes from third place.