Ireland's Padraig Harrington, who was given a Ryder Cup wild card for Europe, falls out of the top 20 in the world rankings for the first time in more than four years.
Harrington started 2010 in fifth spot.
German Martin Kaymer is back up to fifth in the world after his victory at the KLM Open in the Netherlands, while American Dustin Johnson is now at a career-high 12th following his victory at the BMW Championship in Chicago.
Runner-up Paul Casey – not chosen for Europe’s Ryder Cup team, of course - improves to seventh, while
Latest leading position in the world rankings:
1 Tiger Woods 9.39pts, 2 Phil Mickelson 8.81, 3 Lee Westwood 8.58, 4 Steve Stricker 7.98, 5 Martin Kaymer 7.27, 6 Jim Furyk 6.60, 7 Paul Casey 6.25, 8 Rory McIlroy 5.74, 9 Luke Donald 5.15, 10 Matt Kuchar 5.49, 11 Ernie Els 5.49, 12 Dustin Johnson 5.03, 13 Ian Poulter 4.89, 14 Graeme McDowell 4.84, 15 Hunter Mahan 4.77, 16 Edoardo Molinari 4.71, 17 Retief Goosen 4.43, 18 Zach Johnson 4.25, 19 Anthony Kim 4.23, 20 Louis Oosthuizen 4.09
Other leading Europeans:
22 Padraig Harrington, 23 Justin Rose, 26 Miguel Angel Jimenez, 27 Ross Fisher, 33 Francesco Molinari, 38 Henrik Stenson, 39 Robert Karlsson, 42 Peter Hanson, 50 Alvaro Quiros, 56 Rhys Davies, 58 Sergio Garcia, 62 Martin Laird, 66 Oliver Wilson, 70 Simon Dyson, 77 Fredrik Andersson Hed, 78 Brian Davis, 80 David Horsey, 81 Stephen Gallacher, 87 Chris Wood, 89 Soren Kjeldsen, 91 Soren Hansen, 92 Anders Hansen, 95 Fredrik Jacobson, 98 Darren Clarke, 99 Gregory Bourdy