They will tee off at 5:09 p.m. ET on Thursday and 11:24 a.m. Friday.
Koepka will be attempting to win his third straight U.S. Open following victories in 2017 at Erin Hills and last year at Shinnecock Hills. He will be attempting to become the first player since Scotland's Willie Anderson in 1903, 1904 and 1905 to win the U.S. Open three straight years.
Other groups of note are Rory McIlroy, Marc Leishman and Jon Rahm (10:51 a.m., 10th tee); Rickie Fowler, Jason Day and Si Woo Kim (11:02 a.m.); and Justin Thomas, Bryson DeChambeau and Kevin Kisner (11:02 a.m., 10th tee).
Past U.S Open champions Dustin Johnson and Graeme McDowell are grouped with Phil Mickelson -- who has been a runner-up a record six times (11:13 a.m., 10th tee). And Webb Simpson will be joined by Adam Scott and Matt Kuchar (4:47 p.m.).
This will be the sixth U.S. Open to be staged at Pebble Beach, where McDowell won in 2010. Woods set a record when he won by 15 strokes at Pebble Beach in 2000.
Woods will be making his third start since winning the Masters in April. He missed the cut at the PGA Championship and tied for ninth last week at the Memorial Tournament.
Koepka, who won the PGA Championship last month for his fourth major title, is playing for the first time since that victory at the RBC Canadian Open.