Furyk jumped three spots, moving up from the sixth spot and replaced Vijay Singh, who dropped to fourth.
Woods of course held on to the No. 1 ranking with his solid second-place finish at the Buick Open.
Ernie Els stay in second place, despite not playing, followed by Furyk, Singh, and Canadian Mike Weir, who fell one position to fifth.
The second five order has Davis Love III at sixth then David Toms, Kenny Perry, Padraig Harrington and Nick Price rounding out the top-10.
Adam Scott, who won the European Tour's Scandinavian Open, leaped 14 spots to land in the 34th position.
Chris DiMarco, who fell two spots last week, slid up three this week to No. 14.
American Phil Mickelson did not play and remained in the 11th spot, followed by Retief Goosen, Justin Leonard, DiMarco and Sergio Garcia.