Woods and Martin Kaymer will tee off at 2:20 p.m. ET on Thursday at Firestone Country Club, as the former attempts to win his first title in exactly one year and the latter tries to build on momentum from victories at The Players Championship and U.S. Open already this season.
They will go out at 10:30 a.m. in Round 2.
With just 76 competitors in the field, the event is filled with its usual prominent pairings.
McIlroy finished T-27 at this event last year.
Other marquee pairings include Jordan Spieth and Victor Dubuisson (10:10 a.m.); Sergio Garcia and Phil Mickelson (10:30 a.m.); Jim Furyk and Jason Day (1:50 p.m.); Rickie Fowler and Justin Rose (2:00 p.m.); and Bubba Watson and Adam Scott (2:10 p.m.).