Spieth was placed in the same group as Jason Day and Justin Rose for the opening two rounds next week at Chambers Bay. They will tee off at 5:17 p.m. EDT as Fox Sports makes its debut in golf.
Woods is in the group right behind them with Rickie Fowler and Louis Oosthuizen.
Rory McIlroy, the world's No. 1 player, is with defending champion Martin Kaymer and U.S. Amateur champion Gunn Yang. They will tee off Thursday morning, which will be 11:28 a.m. EDT, and then most of their second round will be featured in prime time.
Phil Mickelson, with Angel Cabrera and Bubba Watson start at 10:33 a.m. EDT on Thursday.