Orton hurled for 296 yards, going 22-of-34 on his pass attempts, and Tim Tebow tossed his first career scoring pass as well as running in a score for Denver (3-6), which broke a four-game losing streak.
The Broncos benefited from a career-high 106 rushing yards from Knowshon Moreno, who also gained 50 receiving yards and scored a receiving touchdown.
Matt Cassel put up some impressive numbers, passing for an eye-popping 469 yards while completing 33-of-53 pass attempts for the Chiefs (5-4), but it wasn't nearly enough for the win.
Dwayne Bowe gained 186 yards and notched a pair of touchdowns for Kansas City.
2014: NFL Cheerleaders [PHOTOS]
Arizona Cardinals player formally charged