Harrington returned to the top 10 for the first time in 15 months.
Woods was again followed by Jim Furyk, Phil Mickelson, Adam Scott, Retief Goosen, Vijay Singh and Ernie Els.
Harrington was followed by Luke Donald, who slipped one spot to ninth. U.S. Open winner Geoff Ogilvy remained in the 10th position, while Sergio Garcia fell two to 11th.
The next four remained the same with Henrik Stenson, Trevor Immelman, David Howell and Paul Casey ranking 12th to 15th. David Toms and Davis Love III exchanged positions with Toms up to 16th.
The final three -- Colin Montgomerie, Jose Maria Olazabal and Chris DiMarco -- remained in the 18th to 20th positions.
John Senden was victorious in Australia over Ogilvy and climbed 29 spots to 74th, while Jose Manuel Lara won the European Tour event in Hong Kong. His first tour win helped him move up 49 places to 76th.