New Orleans ? Ryan Succop finished all the drives the Kansas City Chiefs’ offense couldn’t in their improbable comeback against the Saints.

Succop kicked four of his club-record six field goals after the end of the third quarter and hit the game-winning 31-yarder with 6:27 left in overtime as the Chiefs rallied from an 18-point deficit in the second half to beat winless New Orleans, 27-24, on Sunday.

It is the largest lead Kansas City has overcome in franchise history.

Succop’s 43-yarder tied it with three seconds left in regulation after he converted from 34 and 38 yards earlier in the fourth.

“The best part is our guys never gave up,” Succop said. “We kept fighting, it was a huge team win, and I’m just really excited to have had a part in it.”

Jamaal Charles’ 91-yard touchdown run — the longest running play in Chiefs history, and the longest ever given up by the Saints — started Kansas City’s comeback. Then the Chiefs’ defense thwarted a Saints scoring chance when Stanford Routt intercepted Drew Brees’ underthrown pass for Devery Henderson near the Kansas City goal line late in the third quarter.

Brees, who was 20-of-36 for 240 yards and three TDs — never had another completion after that, and only attempted six passes because the Saints also never got another first down while statistically going backward — for minus-16 yards — through the fourth quarter and overtime.

Charles, who finished with 233 yards rushing and 55 yards receiving, scored the only touchdown the Chiefs (1-2) needed. The rest of the scoring came on field goals, as well as a safety on Justin Houston’s third sack of the game.

“This team needed a win, and a win like that really helped out in particular,” Chiefs coach Romeo Crennel said. “There were a lot of doubts about what we could do and they showed a lot of character.”

The Saints (0-3) remain winless since head coach Sean Payton was suspended for the season in connection with the NFL’s bounty investigation.

“All I can say is Sean Payton is a great football coach,” Brees said. “But he’s not here, so the rest of us have to find a way.”

Instead, the Chiefs found a way after their sack of Brees for a safety got them the ball, down 24-21, with 5:33 to go.

Matt Cassel’s spinning scramble and 11-yard pass across the field to Jon Baldwin on third-and-10 extended the game-tying drive, as did Cassel’s completion to Dwayne Bowe on fourth-and-five.

In one of several lowlights for the crew of replacement officials working the game, New Orleans was briefly ruled the winner on the field in overtime when running back Shaun Draughn lost the ball stretching for a first down and safety Roman Harper picked up the ball and ran to the end zone.

The fumble was overturned on video review, but the spot came up a half-yard short of a first down. Charles easily converted a fourth-down run to extend the winning drive.

“We knew coming in that we could run against this defense,” Charles said. “It was an opportunity we had to take advantage of.”

The Saints scored first when Lance Moore’s leaping nine-yard catch capped an 83-yard, game-opening drive.

After that, however, no team got in the end zone for the rest of the half, which ended with the Saints up 10-6.

New Orleans appeared to be taking command in the third quarter thanks to a pair of turnovers by the Chiefs.

First came a fumble by Dexter McCluster, who hurt his shoulder while falling on his own after a short catch, then let the ball go moments before he would have been touched down by cornerback Jabari Greer. Officials initially ruled McCluster down while linebacker Jonathan Casillas scooped the ball and ran to the end zone. The Saints challenged and won a reversal on replay review, giving them the ball on the Chiefs 19. That set up Brees’ one-yard TD pass to tight end Jimmy Graham.

New Orleans then went ahead 24-6 on Brees’ six-yard swing pass to fullback Jed Collins, capping a short drive set up by Greer’s interception and 28-yard return to the Kansas City 7.

After that, the Saints fell apart.

“We’re obviously disappointed, but not disheartened,” Saints interim coach Aaron Kromer said. “We don’t know how we’re supposed to act right now.”

Notes: Along with McCluster, the Chiefs lost starting C Rodney Hudson to an apparent right knee injury and RB Peyton Hillis to an ankle injury in the third quarter. … Saints LB David Hawthorne left because of a hamstring injury in the first half and did not return. … Brees now has TD passes in 46 straight regular season games, one behind Johnny Unitas’ record of 47.