Murray had battled his way back from two sets down in the second round against France's Adrian Mannarino, but could not work another miracle against the 14th-ranked, 29-year-old Anderson, who swept the final tiebreak 7-0.
Former World No 1 Ana Ivanovic was upset 7-5, 6-4 by 42nd-ranked Karolina Pliskova of the Czech Republic in the second round of the US Open on Thursday.
IMAGES from the US Open matches played on Day 1 at the Flushing Meadows in New York on Monday.
IMAGES from Day 8 of the action at the US Open at USTA Billie Jean King National Tennis Center at Flushing Meadows in New York on Monday.
The fifth-seeded Ukrainian reached her second straight Grand Slam semi-final after also making the last four at Wimbledon in July.
IMAGES from matches on Day 4 of the US Open at Flushing Meadows in New York on Thursday.
Second seed Angelique Kerber stayed on track in her quest to unseat Serena Williams as world number one by beating Mirjana Lucic-Baroni of Croatia 6-2, 7-6(7) on Wednesday to reach the third round of the US Open.
A quick guide into the life of Serena Williams, the GOAT - The Greatest of All Time!
IMAGES from Day 10 of the US Open matches played in New York on Wednesday
IMAGES from Day 5 of the US Open, at the USTA Billie Jean King National Tennis Center, Flushing Meadows, New York, on Friday.
Images from Day 8 of the 2021 US Open in New York on Monday.
IMAGES from Day 8 of the US Open on Monday
IMAGES from Day 6 of the 2023 US Open on Saturday.
Images from Day 4 of the US Open in New York on Thursday.
Images from Day 7 of the 2021 US Open in New York on Sunday.
IMAGES from Day 3 of the US Open in New York on Wednesday.
IMAGES from Day 5 of the 2020 US Open in New York on Friday.
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