Choi took the lead with a seven-under 65 in the second round and never looked back. He finished with at 17-under-par 271, four shots clear of his closest competitors.
Tiger Woods, who will tee it up at the Byron Nelson Classic this week, held on to the No. 1 spot followed by Phil Mickelson, who finished tied for ninth last week in New Orleans.
South Africans Ernie Els and Retief Goosen held on to their third and fourth place rankings while Sergio Garcia remained in fifth. David Duval, Vijay Singh and David Toms all held on to their positions.
Chris DiMarco, who finished five shots behind Choi in New Orleans, came in ninth in the rankings to return to the top 10. He was followed by Padraig Harrington.
Davis Love III fell two spots to 11th while Rocco Mediate, the winner two weeks ago at the Greater Greensboro Classic, remained in 12th.
Canadian Mike Weir stayed put at No. 13 followed by Darren Clarke and Jose Maria Olazabal.
Scott Verplank, who finished alongside Mickelson in New Orleans, moved up one spot to No. 16. Bernhard Langer fell one place in an exchange of positions with Verplank.
Jim Furyk held on to No. 18 while Bob Estes moved up one spot to 19th. Brad Faxon rounded out the top 20.
Check out the latest World Golf Rankings