Woods had held the position alone since 2006, but the Los Angeles Lakers guard moved up from fourth last year to grab a share of the top spot, Harris Interactive said Tuesday.
LeBron James dropped from third to sixth in the company's survey of 2,227 adults conducted online June 14-21, before he left Cleveland to sign with Miami. Retired NBA star Michael Jordan fell from second to seventh.
Volleyball player Misty May-Treanor was tied for seventh with gymnast Shawn Johnson; basketball player Lisa Leslie was ninth; and retired tennis players Billie Jean King and Martina Navratilova were tied for 10th.
Dropping out of the top 10 were basketball's Candace Parker, golfer Annika Sorenstam, former tennis star Chris Evert and figure skater Michelle Kwan.