Kansas City, Mo. ? Shannon Sharpe proved there’s still plenty of life in his 34-year-old legs. There was never a doubt about his attitude.

Sharpe set an NFL record for tight ends with 214 yards receiving Sunday, and his two second-half touchdown catches helped the Broncos rally from a 14-point deficit to beat Kansas City, 37-34, in overtime.

Sharpe, who made 12 catches, set a single-game franchise record for receiving yards and broke Jackie Smith’s league mark for tight ends.

Smith had 212 yards receiving on nine catches for the St. Louis Cardinals against Pittsburgh on Oct. 13, 1963.

Sharpe caught a pair of scoring passes from Brian Griese, who was 30-of-50 for a career-best 376 yards, as Denver (5-2) defeated the Chiefs (3-4) at Arrowhead Stadium for the first time since 1998.

After Sharpe beat three defenders for his first TD, an 82-yarder, he couldn’t resist needling Kansas City’s fans. He bent down in the end zone, unfastened some tape from his shoe and showed them what was written underneath.

“It says, ‘Big Play Shay,'” Sharpe said. “I just wanted to let everyone know I was still back.”

Jason Elam kicked a 25-yard field goal with 12:03 left in overtime for Denver, which atoned for earlier special-teams mistakes with big plays in the extra session.

Elam’s game-winner, set up by a 25-yard pass interference penalty against Chiefs cornerback Eric Warfield, was his third field goal of the game. It came four plays after Keith Burns blocked Dan Stryzinski’s punt and Dwayne Carswell recovered at the Kansas City 32.

Burns, Denver’s special-teams captain, was glad for the shot at redemption.

“We shouldn’t put our offense and our defense in bad field position, and that’s what we did all day,” he said. “We hung together, and we were able to come out on top.”

Denver linebacker Keith Burns (55) blocks a punt by Kansas City's Dan Stryzinski, setting up the game-winning field goal. The Broncos rallied for a 37-34 overtime victory Sunday in Kansas City, Mo.

Griese was 20-of-33 for 278 yards after halftime.

Priest Holmes ran for 113 yards and three touchdowns, two of them following mistakes by Denver’s special teams in the second half. Chiefs kicker Morten Andersen became the NFL’s career field goal leader then missed a big one in the fourth quarter.

Denver’s Mike Anderson forced overtime with 21 seconds left in regulation, scoring on a 2-yard run after Andersen missed a 43-yard try with 4:37 remaining. Rod Smith kept the Broncos’ drive going with an 8-yard catch on fourth-and-6 from Kansas City’s 29 just before the 2-minute warning.

Denver had the ball first in overtime but went three-and-out. The Chiefs managed only three plays before Burns’ block.

With first-half field goals of 41 and 32 yards, Andersen moved past Minnesota’s Gary Anderson as the NFL’s career leader. Andersen has 479 field goals, while Anderson who didn’t hit any in the Vikings’ 20-7 loss to the New York Jets on Sunday has 478.

“It doesn’t feel very good right now, to be honest with you,” said Andersen, whose fourth-quarter miss broke a streak of 25 straight conversions dating to last season. “It’s a brutal game sometimes.”

Kansas City's Tony Gonzalez (88) gets knocked off his feet by Denver's Al Wilson. The Broncos beat the Chiefs, 37-34 in overtime, on Sunday in Kansas City.

Holmes, who came in as the NFL’s leading rusher and scorer, has 14 touchdowns this season. That’s the most TDs through seven games since at least 1970, when the NFL started keeping such records.

Denver had been the NFL’s stingiest team against the run, with opponents averaging 60.2 yards entering the game.

The overtime loss capped what has become the Chiefs’ hallmark this season a wild game in which no lead is safe.

“I told the squad, ‘When you boil it down, one play makes the difference. You don’t make the play, you lose,”‘ Kansas City coach Dick Vermeil said. “We had opportunities to put them away and we couldn’t do it.”

With the score tied at 20 late in the third quarter, Kansas City’s Trent Green threw an incompletion on third-and-5 from his own 46. Stryzinski punted to the Denver 25, but the Chiefs got the ball back and a first down at Denver’s 39 when Kelly Herndon was flagged for grabbing Corey Harris’ facemask before the kick.

Holmes scored on a 4-yard run four plays later. Five plays after that, Monty Beisel blocked Tom Rouen’s punt and Glenn Cadrez recovered at the Broncos’ 5. Holmes went the rest of the way on two plays, scoring from 1 yard out for a 34-20 lead.

Sharpe, whose 82-yard TD catch tied it 13-all early in the third quarter, got wide open at the goal line and caught Griese’s 28-yard pass to pull Denver to 34-27 with just under 11 minutes left.

Green went 6-for-6 in the first quarter for the Chiefs, including 4-for-4 as they capped their opening drive with Holmes’ 1-yard run. Kansas City led 13-6 at the half as the two teams traded two field goals each by Elam and Andersen.

Tony Richardson’s 14-yard run put the Chiefs up 20-13 later in the third, but Denver answered with a 2-yard TD run by rookie Clinton Portis.

Notes: Kansas City has scored 34 points in each of its last two games, both losses. The 82-yard scoring play was the longest of Sharpe’s 13-year career. Six of the seven quarterbacks the Chiefs have faced have thrown for more than 300 yards. Andersen had not missed a field goal since Nov. 19, 2001, with the New York Giants. He needs 31 attempts to pass George Blanda (637) for the NFL record. Griese’s previous career high was 365 yards passing at Cincinnati on Oct. 22, 2000. The 50 attempts tied his career high. Sharpe caught his 53rd career touchdown pass, moving past Hall of Famer Dave Casper for second-most by a tight end. Washington’s Jerry Smith holds the record with 60.