He had made 158 starts and played 528 rounds on the PGA Tour since his last win, racking up nine second- and eight third-place finishes since his most recent victory six years, nine months and nine days ago.
"I never knew when the next one was going to come", said Na afterwards. "I've been close so many years and failed so many times", said the Korean-born Na, who turned pro at age 17.
Anirban Lahiri of India, who shot a 61 in the second round, shot 71-76 on the weekend to end up tied for 39th at 5 under. The only blemish on his card was a bogey on the par-4 11th after driving into the rough. In the playoff, Knox hit wedge from 131 yards to almost the same spot on the 18th green, and his long birdie putt curled left to right and into the cup.
Fellow Americans Brandt Snedeker (64) and Jason Kokrak (67) tied for third on 267.
Na was one shot behind co-leaders Kraft and Harold Varner to begin the day.
Kraft's round included a 19-foot birdie putt at 10 and a chip in for birdie from 41 feet at 11.
"It's nice to get that second trophy", said Na. "The first day the putter felt terrible, and (then) it just clicked".
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On Sunday, Iowa GOP Senator Joni Ernst said the US should restart its military exercises with South Korea if talks don't continue. The statement included a personal appeal to the U.S. president: "We still cherish our good faith in President Trump ", it said.
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Jones' position could be critical to Kavanaugh's confirmation as the Republicans hold only a 51-49 advantage in the Senate. And he also led the investigation into the mysterious suicide of Clinton's deputy White House counsel, Vince Foster.
"It feels wonderful. I see the record every time on TV; the most top fives, the most top 10s without a win", he told the Golf Channel. He cried during a TV interview after the round as he relayed a message to fans in Korean.
Fox, who shot a 68, earned one of three spots to the British Open in two weeks at Carnoustie. Na had already earned a spot.
Kraft finished solo second at 14 under after a birdie on the 72nd hole.
The five-time major champion had three bogeys, a double bogey and a triple bogey on 18 to go with four birdies for a final-round 74 to finish the tournament at 279 and tied for 65th place.
Phil Mickelson, playing in his first tournament since the US Open where he ran down his bogey putt and struck the ball while it was still moving, was penalized two shots on Sunday for improving his line of play. "It's a really sweet one today, especially with how I played and finished and won by a big margin". Since this tournament debuted in 2010, there have been four first-time champions, but no third-round leader has won. That broke by four shots to par the record Kim had shared with Annika Sorenstam. He's now made $2 million or more in eight of the last 10 seasons, and has 55 top-10 finishes in that span as well.
Na found a fairway bunker at seven and settled for par but resumed his birdie binge with a 43-foot putt at the par-3 eighth, a tap-in birdie after putting his approach at nine inches from the cup and sinking a 23-foot birdie putt to start the back nine.