World number one Woods, who topped the points list entering this first event of the four-tournament FedExCup playoffs, had posted three birdies in a row to reach three under through seven holes before the horn sounded due to lightning in the area.
The suspension came one hour 42 minutes after an earlier lightning threat caused a delay of over two and a half hours.
Woods, a five-time winner on the PGA Tour this season, stood one stroke behind Australian Jason Day and Americans Kevin Stadler and Matt Every midway through the morning flight.
Day had completed nine holes, while Stadler and Every had played seven.
World number one Woods was among eight players at three under, including Americans Ryan Palmer, Charles Howell III and Jeff Maggert and Colombian Camilo Villegas.
A dozen players were bunched at two under par, including U.S. Open champion Justin Rose of England, defending Barclays champion Nick Watney and fellow Americans Jim Furyk and Matt Kuchar, and Henrik Stenson of Sweden.
PGA champion Jason Dufner was one over par through nine.
Sixty players were on the course when the horn sounded for the second time on Thursday.
British Open champion Phil Mickelson and Masters winner Adam Scott of Australia were among the players scheduled to tee off in the afternoon wave in the 123-man field.
Woods, who began his round at the 10th, knocked it two feet from the pin at the par-three 14th, sank a six-footer at 15 and a five-foot putt at the 16th for birdies after registering pars on his first four holes.
England's Lee Westwood was not so successful, standing last among the early starters after double-bogeys at the third and fifth and a bogey at the eighth put him five over par through eight holes.