The Buick endorser last appeared in the event in 2001, when it also was played the week after the U.S. Open.
The Westchester Country Club tournament has rotated around the U.S. Open in recent years, filling the spot before the major championship when the Open is played close to New York City, and the week after when it is played outside the area.
''When the U.S. Open is here it's better from the tournament perspective to be the week before,'' tournament executive director Peter Mele said. ''But when it's not in the area, we want the week after, which gives a chance to get a player like Tiger, who normally does not play the week before a major.''
Woods, expected to attract an additional 40,000 to 50,000 fans to the four-day tournament, has struggled in three starts on Westchester's hilly, tree-lined West Course. He missed the cut as an 18-year-old amateur in 1994, tied for 43rd in 1997, and tied for 16th in 2001 -- 12 strokes behind winner Sergio Garcia.
Woods holds titles in Buick's other two PGA Tour events, winning the Buick Open in Grand Blanc, Mich., in August, and taking the Buick Invitational in February in San Diego.
''Tiger's got to come through me to get that Buick Slam,'' defending champion Chris Smith said.
Also Tuesday, tournament officials said former New York City Mayor Rudolph Giuliani will serve as honorary chairman of the June 19-22 event.
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