Atlanta, who won the first match of the three best finals on Monday, fell 3-0 after failing to win any of the first 11 hole.
They narrowed that gap to 3-2 after 13 before the hammer was dropped, making the penultimate hole worth two points.
Horschel slipped across the green after it was demolished at a distance of 18 feet, prompting his team forward.
“I hit the place, it looked well. Two feet outside I knew he was in the hole and took out,” Horschel said.
“I think I said some vaccines. I think I said something about this is my home. It was a lot of fun.”
New York dropped the hammer for the final hole to try to extract the game, but after the two players were absent from the green color, the stadium fell in the Cantlay on the hole to close the victory.
The Innovative Tiger Woods and Rory Mcilroy's innovative internal championship, who said they wanted to help take the golf “in the twenty -first century”.
“I have completely exceeded my expectations,” said Thomas. “Competitiveness, as soon as the matching matches arrived here, were not similar, but it was competitive. We wanted to win.”