Woods, who can capture the US PGA season playoff championship with a victory, and Rose — who dropped in a 50-foot birdie effort at the 18th — each fired six birdies and took two bogeys in the 30-player showdown at East Lake.
Sharing third on 67 were Americans Steve Stricker, Matt Kuchar, Bo Van Pelt and Scott Piercy with Americans Hunter Mahan, Brandt Snedeker, Zach Johnson, Robert Garrigus and Australian Adam Scott on 68.
World No 1 Rory McIlroy of Northern Ireland, who has won three of his past four starts, fired a 69. McIlroy, who played alongside Woods in round one, can also claim the playoff title with a victory as can Snedeker, Nick Watney and Phil Mickelson. All 30 players in the field have a chance at capturing the $10 million playoff crown and some can claim the prize without winning the tournament title.