Woods avenged his USPGA defeat to Korea's YE Yang
Tiger Woods holed the winning putt as the United States took the Presidents Cup for a sixth time in eight events by beating the International team.
The US led 12½-9½ going into Sunday's 12 singles matches, and Woods's 6&5 win against Yang Yong-eun gave them the decisive fifth point in San Francisco.
Stewart Cink, Hunter Mahan, Anthony Kim and Sean O'Hair took the US to the brink with victories early on Sunday.
Woods won all five of his matches as the US triumphed 19½-14½ overall.
The US are now unbeaten in five Presidents Cup matches on home soil.
Open champion Cink beat Australian Adam Scott 4&3 in the second match out before Mahan came from two down after four holes to edge Colombian Camilo Villegas 2&1.
Moments later, Kim completed a 5&3 win over Australian Robert Allenby before O'Hair trounced South African Ernie Els 6&4.
We played great as a team and the captain did some great pairings
In the ninth match out, Woods was up against Yang, the South Korean who had come from two shots behind the American to win the USPGA championship at Hazeltine in August.
Yang's victory, the first major title for an Asian-born male, ended Woods's 100% record of winning all 14 of his majors when leading going into the final round.
But Woods was too strong at Harding Park, though he was unaware that, with six matches still on the course, his putt on the 13th green had secured the win for captain Fred Couples's side.
"All I knew was I was trying to get my point and I was five up trying to make it six," said Woods.
"I didn't look at any boards. I saw we were down six matches at one point so I just kept my head down and tried to extend my own lead.
"We played great as a team and the captain did some great pairings.
"He put us together with some guys that we knew we could play really well with, and the guys made putts this week. All in all, I'm very proud of the guys."
Woods joined countryman Mark O'Meara and Japan's Shigeki Maruyama as the only players to win all five matches in the Presidents Cup. Woods now has 18 victories, the most of any player in this event.
After victory was secured, Canadian Mike Weir and Justin Leonard halved, Australian Geoff Ogilvy beat Steve Stricker 2&1 and South African Tim Clark beat Zach Johnson 4&3.
Japan's Ryo Ishikawa then defeated Kenny Perry 2&1, Jim Furyk lost 4&3 to Argentina's Angel Cabrera, Fiji's Vijay Singh halved with Lucas Glover and Phil Mickelson beat South African Retief Goosen 2&1.
The International team's only victory was at Royal Melbourne in 1998 and the teams tied at Fancourt in South Africa in 2003.
"My positive is my guys. I had a tremendous week with all of them," said International captain Greg Norman.
Hunter Mahan (US) bt Camilo Villegas (Col) 2&1
Stewart Cink (US) bt Adam Scott (Aus) 4&3
Mike Weir (Can) halved with Justin Leonard (US)
Anthony Kim (USA) bt Robert Allenby (Aus) 5&3
Geoff Ogilvy (Aus) bt Steve Stricker (US) 2&1
Sean O'Hair (US) bt Ernie Els (SA) 6&4
Ryo Ishikawa (Jpn) bt Kenny Perry (US) 2&1
Tim Clark (SA) bt Zach Johnson (US) 4&3
Tiger Woods (US) bt Yang Yong-Eun (Kor) 6&5
Vijay Singh (Fij) halved with Lucas Glover (US)
Phil Mickelson (US) bt Retief Goosen (SA) 2&1
Angel Cabrera (Arg) bt Jim Furyk (US) 4&3