Curtis, who became the first player to win a major championship in his first major start since Francis Quimet captured the U.S. Open in 1913, made the largest improvement in the rankings since their inception in 1986.
At the end of last year, Curtis was ranked 1269th in the world.
Tiger Woods was in contention late at the British Open but was unable to comeback for the victory. Nevertheless, Woods remained firmly entrenched as the top-ranked golfer in the world. Ernie Els, who won the British Open in 2002 at Muirfield, followed at No. 2.
Vijay Singh shared second place at the British Open with Thomas Bjorn of Denmark. Singh moved up three spaces to No. 3.
Masters champion Mike Weir dropped one spot to fourth while Davis Love III fell one to fifth. U.S. Open winner Jim Furyk also fell one position to come in at No. 6.
David Toms, Kenny Perry, Padraig Harrington and Phil Mickelson all held their rankings from last week to round out the top 10.
Nick Price, Retief Goosen and Justin Leonard stayed put while Sergio Garcia climbed one spot to No. 14. Chris DiMarco fell one spot to 15th to accommodate Garcia's move while Robert Allenby came in at No. 16.
Rich Beem exchanged positions with Darren Clarke to move to 17th this week with the Ulsterman dropping one to 18th.
Bob Estes held the 19th spot from last week. He was followed by Bjorn, who climbed 29 spaces to come in at No. 20.
Craig Stadler, who won the B.C. Open on Sunday one week after capturing the Ford Senior Players Championship on the Champions Tour, jumped 111 positions to come in at No. 135.