Serena Williams looks for a record-equalling 24th Grand Slam title, while Bianca Andreescu could become the first Canadian to win a major.
Rafael Nadal takes on Matteo Berrettini on Friday night looking for a second U.S. Open final in three years.
Serena Williams looks for a second consecutive U.S. Open Final when she plays No. 5 seed Elina Svitolina on Thursday night.
The Spaniard is odds-on favorite to win a 19th Grand Slam title after Novak Djokovic and Roger Federer were both knocked out.
Federer chases a first semifinal at Flushing Meadows since 2015, while Williams looks to take another step towards a 24th Grand Slam title.
Nadal takes on 2014 U.S. Open winner Marin Cilic while Osaka plays No. 13 seed Belinda Bencic on Monday.
"These people are here for you. You're amazing," Osaka told Gauff before their viral post match joint interview.
Federer takes on Britain's Dan Evans, while Djokovic faces American qualifier Denis Kudla on Friday evening.
Coco Gauff plays Hungary's Timea Babos, while Rafael Nadal takes on Australia's Thanasi Kokkinakis on Thursday.
The world No. 1 and the world No. 3 are both in action on Wednesday, as are the Williams sisters.
Rafael Nadal and Coco Gauff are both in action on Tuesday as the first round of the U.S. Open is completed.
The teenager crashed out of the Citi Open in Washington, D.C., after losing in straight sets to Kazakhstan's Zarina Diyas.
The 15-year-old's dream run came to an end on Monday, but she was won numerous new fans along the way.
Brooks Koepka is the bookmakers' favorite as the third major of the year gets underway on Thursday at Pebble Beach, California.
Woods ended an 11-year wait for a major in April when he won The Masters, but can he repeat the feat at Pebble Beach?
At 15/2, Koepka is the bookies' favorite to win the U.S. Open for the third consecutive year, while Tiger Woods is at 9/1.
Brooks Koepka could become the first man in 114 years to win the U.S. Open three times in a row if he wins at Pebble Beach this weekend.
Woods has now missed the PGA Championship cut three out of his last four tries, and Brooks Koepka is cruising as the clubhouse leader by seven strokes.
Camera crews at the US Open caught the act and it has since been doing the rounds on social media.
Spieth's heroics beat out Daniel Berger of the United States.
British players are given priority even if they are not particularly good.
Each of the past seven majors has been won by a different player.
The Northern Irishman had argued against the grass being cut back before the start of the tournament.
The 28-year-old has never won a major tournament.
The golfer was arrested on Monday near his Florida home after falling asleep behind the wheel of his car.
The 41-year-old said he was affected by a mix of prescription medications taken after back surgeries.
The Briton has suffered with injury this year.