Woods stands at 6-under overall.
Delaet, a 31-year-old Canadian, had the low round of the day with a 62 that included 10 birdies and a bogey.
The stroke average on Sunday was almost 3 under (68.211). Players were aided by the lift-clean-and-place rule due to wet conditions from morning rain.
"Like a true golfer should talk, you always feel like you leave something out there," Garcia said. "But I feel like I played nicely. I feel like obviously two or three putts felt like they maybe deserved a little better than they got.
"But I hit good putts. And sometimes they go in, sometimes they don't. But I think that maybe with the lead and shooting 6 under today, I would have taken it this morning. I can't be disappointed with that."
On Friday night, Woods called the course "gettable," but on Sunday he struggled to gain any momentum.
"I just didn't have it today," Woods said. "I just didn't hit it well. I didn't make anything. Just one of those days. I had a bad day at the wrong time.
"The course is gettable, that's for sure. The greens were so receptive. You could be very aggressive and not have to worry about anything. Unfortunately, I just didn't put it together today."
After making the turn at even par, Woods bogeyed his next three holes before making birdies at Nos. 13 and 16. He only hit half his fairways and didn't make a putt longer than seven feet.
Woods came into this week ranked first on the FedEx Cup points list. Regardless of his finish here or at the BMW Championship in two weeks, his five regular-season wins assure him a place in the top five in the standings heading into the season-ending Tour Championship. Players in the top five entering Atlanta can win the playoffs with a victory at East Lake.
Rain and lightning forced the PGA Tour to scrap about an hour of the third round.
Scores were thrown out, with players in threesomes going off both sides at TPC Boston.
Players again will go in threesomes on both tees starting at 8 a.m. ET on Monday to beat the threat of afternoon thunderstorms.
Information from The Associated Press was used in this report.