By Andrew Both
After an opening 72 the world number one knew he needed a low score to maintain his involvement in the remainder of the FedExCup series.
Woods responded in style, shrugging off a stiff morning breeze at the Boston TPC to compile a bogey-free round.
"I hit it really good today," the American told reporters after finishing with a five-under tally of 137. "I missed a few but the only bad putt I hit was at 16.
"Other than that I really rolled it well. I just felt better today, more energetic and ready to go.
"It was a clean card and could have been a little lower. I had to shoot a good one if I was going to move on today and I did that," added Woods.
The 14-times major winner came into this week's tournament, the second of four playoff events, ranked 65th on the FedExCup points list.
He is still not completely safe, needing to finish around 50th on Monday to qualify.
Woods, who announced his long-expected divorce from wife Elin last week, has yet to win this season.
(Editing by Tony Jimenez)