The second 18 holes are scheduled for 2:20 p.m. ET Sunday.
Love and Woods, the defending champion, were even when they reached La Costa's par-3 16th hole. Woods hit his tee ball right at the flag but spun it back to the collar of the fringe nearly spilling into the water. Love stuck his iron shot two feet from the hole and when Woods missed his birdie try, Love tapped in to go 1-up.
At the 17th, Love drove into the fairway while Woods found the rough off the tee, something he did often throughout the first 18 holes. Woods hit a low shot under a tree into the front bunker while Love's approach went 25 feet over the flag. Woods blasted out to five feet but it would not matter as Love drained the birdie putt to go 2-up.
Woods rebounded at 18 when he found the fairway. He knocked a 2-iron from 253 yards out at the par-5 hole to 30 feet while Love landed in the front bunker with his approach. Love blasted out to six feet while Woods lagged his eagle putt close enough for Love to concede the birdie. Love missed his birdie putt to cut his lead to 1-up.
Thursday's second-round action was washed away due to rain, so the competitors have played 36 holes a day since Friday.
'I feel pretty good,' said Love. 'You're excited so you keep going.'
Love built a 2-up lead at the 10th hole when he canned a 25-footer for birdie and Woods missed a putt from about 12 feet. At the par-5 11th, Love split the fairway while Woods drove into the left rough. Woods tried to muscle a 3-wood out of a difficult lie but the ball hit a hill and ran into the fairway. Love's second found a bunker in front of the green. Woods hit his third to 15 feet and drained the birdie effort while Love's shot from the trap stopped inside of four feet. Love had a very tricky birdie putt to halve and the ball never got close to the cup, meaning Love lost the hole and his margin was 1-up.
Woods had the honor on the par-3 12th and stiffed his tee ball 10 feet from the stick. Love's iron shot came to rest in the right rough and his chip stopped five feet short. Woods drilled the birdie putt to square the match until Love took command down the stretch.
Woods, who is the only player to own all four World Golf Championships titles, can become the first to successfully defend his title at this event.
Love is in search of not only his first Match Play title but his first win at a WGC event.