But the Chiefs scores 21 second half points to capture a 31-7 victory over the Giants. The win pushes Kansas City to 4-0 for the first time since 2003.
Andy Reid's squad entered the day with the best turnover differential in the NFL while New York (0-4) had coughed up the ball nine times entering Kansas City.
The Chiefs did finally surrender a fumble while Alex Smith tossed two interception, but the defense forced the Giants to commit three of their own.
Smith completed 24 of 41 passes for 288 yards and three touchdowns, the first to Sean McGrath in the second quarter. It was the first career touchdown for McGrath, who got the start in light of an ailing receiving corps.
Defensive back Brandon Flowers did not play due to a knee injury, giving Dunta Robinson his first start of the regular season. Victor Cruz burned him shortly after McGrath's touchdown for a 69-yard score.
Ryan Succop booted a 51-yard field goal to give Kansas City a 10-7 lead at the break.
Dexter McCluster lit a spark into a lackluster Arrowhead Stadium late in the third quarter with an 89-yard punt return to put the Chiefs up 17-7.
Jamaal Charles and Dwayne Bowe hauled in Smith's other touchdown tosses to put the game out of reach in the final frame.