Dalton connected on 18 of his 29 pass attempts and BenJarvus Green-Ellis helped out with 101 rushing yards with a score on 25 carries as Cincinnati (5-5) won a second straight game.
A.J. Green had a touchdown and 91 receiving yards on six catches.
Matt Cassel started behind center for the Chiefs (1-9) and was benched after completing 8-of-16 passes for 93 yards.
Brady Quinn played the second half, going 9-of-14 through the air for 95 yards as Kansas City dropped its seventh consecutive contest.
Notable deaths of 2014 [PHOTOS]
Michael Sam cut from the Dallas Cowboys