Stuart Appleby moved up 17 spots to No. 20 while Tim Herron jumped 23 places to No. 43. Vijay Singh also shared second place but he remained in third place.
Woods stayed in first place for the 217th consecutive week, followed by Ernie Els and Singh, who closed the gap between himself and Els. Davis Love III, U.S. Open winner Jim Furyk and Masters champion Mike Weir held on to their rankings from last week.
David Toms, who finished fifth at the AmEx Championship, remained in seventh, followed by Kenny Perry, Retief Goosen and Padraig Harrington, who rounded out the top-10.
Phil Mickelson, still winless in 2003, came in 11th, while Nick Price and Darren Clarke took 12th and 13th, respectively. Justin Leonard and K.J. Choi each moved up one to 14th and 15th as Chris DiMarco dipped two to No. 16.
Robert Allenby, Adam Scott and Jay Haas all stayed pat and Appleby completed the top-20.
John Huston claimed his seventh PGA Tour victory this week as he won the Southern Farm Bureau Classic at the Annandale Golf Club. In the process, he moved up 15 spots to 55th in the world.