With a 6-under-par 65 Saturday at the Deutsche Bank Championship in Norton, Mass., he made the cut and put himself in position. Brandt Snedeker fired a 7-under 64 to join Jason Day in the lead at 12-under 130.
Woods shrugged off a stiff morning breeze to compile a bogey-free round.
"It was a clean card and could have been a little lower," Woods said. "I had to shoot a good one if I was going to move on today, and I did that."
Woods came into the tournament, the second of four playoff events, ranked 65th on the FedEx Cup points list. Only the top 70 advance to the BMW Championship at Cog Hill in Lemont, Ill., and Woods had to make the cut to have any chance of progressing. He is still not completely safe, needing to finish around 50th on Monday to qualify.