Leading 12½-9½ with Sunday's singles ties remaining in San Francisco, Woods' exercised the demons of his USPGA demise by scoring the decisive point against his Hazeltine conqueror, Y.E. Yang, to win 6&5.
Following the world No.1 with victories of their own were Sewart Cink, Hunter Mahan, Anthony Kim, Sean O'Hair and Phil Mickelson, as the US team, captained by Fred Couples, triumphed 19½-12½ overall.
Woods, who won all five of his matches, joins countryman Mark O'Meara and Japan's Shigeki Maruyama as the only players to complete the Presidents Cup unbeaten.
Afterwards he said: "I didn't look at any boards. I saw we were down in 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. All in all, I'm very proud of the guys this week."
Tiger Woods had the honour of holing the winning putt as the United States secured their sixth Presidents Cup victory in eight matches against the International team.