Three-time major winner Singh carded four late birdies to shoot an opening round 63 and lead by one shot from Americans Jeff Maggert, JonathanByrd and Martin Flores.
Quail Hollow champion Rickie Fowler also shot 69 to be third on five-under 211, one ahead of Woods, while Japan's Ryo Ishikawa was tied for fifth on 213 with Sweden's Henrik Stenson and American JonathanByrd.