Landry qualified for his first major, the 2016 U.S. Open at Oakmont Country Club, through local qualifying in Durham, North Carolina and sectional qualifying in Memphis, Tennessee. In the first round, which was disrupted by weather delays, Landry, ranked 624th in the world, shot a 4-under-par 66 to lead the championship by one stroke. His round of 66 was the best ever opening round in a U.S. Open hosted at Oakmont. He followed this up with a round of 71 in the second round, which placed him in the final group for round three, one stroke behind Dustin Johnson. He continued his fine play with a 70 in the third round to get into the final group on Sunday, four shots back of Shane Lowry. Landry fell away in the final round though, shooting an 8-over-par 78 to finish T15 in his first major.