Woods extended his lead at the top over Vijay Singh. Ernie Els, Phil Mickelson and Retief Goosen, who all failed to contend at St. Andrews, but rounded out the top-five once again.
Sergio Garcia and Adam Scott kept their same rankings from last week, while Padraig Harrington, who withdrew from the British Open after the death of his father, moved up one to eighth. Jim Furyk fell one spot to ninth and Kenny Perry, who tied for 11th in Scotland, rose two to No. 10.
Chris DiMarco stayed in 11th, while David Toms, who was disqualified from the British Open, fell two to 12th. Angel Cabrera remained in 13th, but Luke Donald and Darren Clarke each moved up one to 14th and 15th, respectively.
Davis Love III dipped two to 16th, followed by his good friend Couples. Tim Clark, Stewart Cink and Justin Leonard all dropped one spot to complete the top 20.