The US Golf Association announced the pairings for the first two rounds of the year's third major tournament on Thursday.
Masters champion Woods, a 15-time major winner chasing the all-time record of 18 major wins by Jack Nicklaus, will start with Spieth and Rose at 14:09 (21:09 GMT) off the first tee on Thursday and at 08:24 Friday off the 10th tee.
Two-time defending champion Brooks Koepka of the United States, coming off his second consecutive PGA Championship victory last month at Bethpage Black, will be paired with reigning British Open champion Francesco Molinari of Italy and amateur Viktor Hovland of Norway.
They will open two groups ahead of Woods each day.
Phil Mickelson, a five-time major winner who could complete a career Grand Slam with a victory at Pebble Beach, will play alongside fellow American Dustin Johnson and Northern Ireland's Graeme McDowell, a US Open-winner at Pebble Beach in 2010.
They tee off at 08:13 off the 10th tee Thursday and at 13:58 Friday off the first tee.
Two groups ahead of them will be another feature trio in Northern Ireland's Rory McIlroy, Spain's Jon Rahm and Australia's Marc Leishman.