Countrymen Reed Kessler, on Cylana, finished second, while Charlie Jacobs, on Flaming Star, was third.
Farrington and Uceko picked up a quick pace going to the first jump and never looked back. They had to stretch over a wide oxer halfway through the course, and then went flat out across the ring in the long run to the last two fences. Their speed paid off as they stopped the clock in 48.73 seconds for victory.
"(Uceko) actually goes best in big venues like here. He has a massive stride and he's probably the smallest horse in the class, but he has the biggest stride. He's pretty unique like that. He has exceptionally long legs for his body. I think that's why his gallop is so big."
Earlier, Ashlee Bond and her veteran partner Cadett 7 flew through the 16 numbered obstacles on the course for the $60,000 TransCanada Parcours de Chasse 1.45 metre to take the top prize in 100.059 seconds. Colombia's John Perez and Utopia set the early winning pace and finished second in 103.505 seconds. Third place went to Belgium's Francois Mathy on Elvis van de Vrunte in 103.962 seconds.
American Katie Dinan brought home the win as the last competitor in the jump-off in the $10,000 ConocoPhillips Junior/Amateur Cup 1.40 metre in 42.88 seconds. Second place went to Canadian Kara Chad and Alberto II in 43.49 seconds. American Meagan Nusz and Vesuvius were third in 44.42 seconds.