The Danes beat the United States by a stroke, finishing at 39-under 541.
Nicolai Hojgaard, the European Amateur champion, shot a 7-under 66, and brother Rasmus had a 67 for a team total of 13-under 133 on the O'Meara Course. Teammate John Axelsen had a non-counting 69.
"This is a dream come true for all of us," Nicolai said. "I had a tough start to this tournament, so I was just trying to play some good rounds to help the team. I did that the last two rounds, so this is perfect. This is the biggest team event we could have won, and to do it with Rasmus is perfect. But also with John, John is a great friend, and we are all having fun. This is just wonderful."
Spain's Alejandro Del Rey was the low individual scorer, closing with a 65 for 23-under 267 total.