Denmark sent a delegation to compete at the 1960 Winter Olympics in Squaw Valley, United States from 18–28 February 1960. This was Denmark's third time participating in a Winter Olympic Games. The only athlete the nation sent to these Games was speed skaterKurt Stille. He competed in the men's 1,500, 5,000, and 10,000 meter events, finishing 13th, 27th, and 17th respectively.
Kurt Stille was 25 years old at the time of the Squaw Valley Olympics, and was making his Olympic debut.[5][6] On 25 February, he raced in the men's 5,000 meters; he finished the race in 8 minutes and 33 seconds, finishing in 27th place out of 37 competitors, and roughly 42 seconds behind the gold medalist Viktor Kosichkin of the Soviet Union. Silver was won by Knut Johannesen of Norway, nine seconds adrift of Kosichkin, and bronze by Jan Pesman of the Netherlands a further five seconds behind.[7] The next day Stille fared better in the men's 1,500 m, finishing in 2 minutes and 15.8 seconds, which put him in 13th place out of 45 classified finishers. The joint gold medalists were Roald Aas of Norway and Yevgeny Grishin of the Soviet Union in a time of 2 minutes and 10.4 seconds, just 5.4 seconds ahead of Stille.[8] Bronze was won by Boris Stenin, also of the Soviet Union in 2 minutes and 11.5 seconds[8] On 27 February, Stille took part in his last race, the men's 10,000 m, where he finished in 17 minutes flat; this put him in 17th place out of 29 classified finishers and 1 minute and 14 seconds behind the gold medalist Johannesen of Norway. Silver was won by the Soviet Kosichkin, and bronze by Kjell Bäckman of Sweden.[9] Stille would race exactly the same programme four years later for Denmark at the 1964 Winter Olympics, where his best performance was ninth in that year's 10,000 m.[5]