Liverpool's Fernando Torres is in the running, as are Chelsea trio Michael Ballack, Didier Drogba and Michael Essien.
The prizes are voted for by the captains and head coaches of the men's and women's national teams and at the beginning of December Fifa will announce the names of the five men and five women who have received the most votes.
The winners will then be revealed at the 19th Fifa World Player Gala at the Zurich Kongresshaus on Monday 21 December.
Nominees for 2009 Fifa World Player of the Year award:
Michael Ballack (Germany), Chelsea Gianluigi Buffon (Italy), Juventus Iker Casillas (Spain), Real Madrid Cristiano Ronaldo (Portugal), Real Madrid Diego (Brazil), Juventus Didier Drogba (Ivory Coast), Chelsea Michael Essien (Ghana), Chelsea Samuel Eto'o (Cameroon), Inter Milan Steven Gerrard (England), Liverpool Thierry Henry (France), Barcelona Zlatan Ibrahimovic (Sweden), Barcelona Andres Iniesta (Spain), Barcelona Kaka (Brazil), Real Madrid Frank Lampard (England), Chelsea Luis Fabiano (Brazil), Sevilla Lionel Messi (Argentina), Barcelona Carles Puyol (Spain), Barcelona Franck Ribery (France), Bayern Munich Wayne Rooney (England), Manchester United John Terry (England), Chelsea Fernando Torres (Spain), Liverpool David Villa (Spain), Valencia Xavi (Spain), Barcelona
Nominees for 2009 Fifa Women's World Player of the Year:
Nadine Angerer (Germany) Sonia Bompastor (France) Cristiane (Brazil) Inka Grings (Germany) Mana Iwabuchi (Japan) Simone Laudehr (Germany) Marta (Brazil) Birgit Prinz (Germany) Kelly Smith (England) Abby Wambach (USA)
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