Woods, who started the final round nine strokes off the lead, finished at 10-under 278. Padraig Harrington, who held a two-stroke lead after three rounds, was still on the course when Woods finished.
Woods was pleased with his play in his first tournament since tying for 15th at the Masters a month ago.
'I played well. I only had three bogeys the entire week,' Woods said. 'I hit good putts but they just didn't go in. Overall, I'm pleased with the way I played.'
Woods blamed some of his putting troubles on the ragged greens, infected by a fungus called Fusarium.
'It's nothing to do with the break I took,' he said. 'If you can't make any putts, you can't get any momentum. If you look at the greens, they are not the smoothest in the world - that has a lot to do with it.'
Woods began his final round in a steady rain, and appeared ready to make a run at the leaders after opening with two birdies.
He hit his 9-iron approach at the first hole to within 2 feet, and his drive at No. 2, a short par-3, stopped 3 feet from the cup.
The charge ended at No. 3 when Woods' second shot landed in a bunker with a bad line to the hole, prompting Woods to throw his club into the rough in anger.
'I thought I could make a little bit of a run and finish in the top 10,' Woods said.
The Deutsche Bank, which Woods won in 1999, 2001 and 2002, is one of two events he'll play before the U.S. Open starts June 12. He believes he'll be prepared for the second major of the year.
'I think so, specially given how difficult the Memorial is,' Woods said. 'Usually I get three tournaments in before the U.S. Open, this time it's two. It's not that big of a difference.'
Woods has won three of seven tournaments since returning from knee surgery in December.
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