Woods, seeking his seventh career victory at Torrey Pines, carded a 3-under 69 in third round, which was completed Sunday after thick fog forced a halt to play Saturday.
He finished seven holes of the final round before play was shut down Sunday, and was standing at 6-under.
The final round is set to resume Monday at 2:10 p.m. Eastern.
Defending champion Brandt Snedeker stood at 4-under par in final round, grabbing a share of second place at minus-11, along with 2009 winner Nick Watney, who was working on a 3-under par fourth round.
Swim Week Miami Beach 2014 [PHOTOS]