The 28-year-old star from Belarus gave birth to her first child in December and she returned to the tour in June. She detailed the dispute with the boy's father in a long Twitter post last week, saying she might not be able to bring her son with her to New York.
"I am sadly unable to compete in this year's U.S. Open due to my ongoing family situation that I am working through," Azarenka said in a statement.
"As we work to resolve some of the legal processes, the way things stand now is that the only way I can play in the U.S. Open this year is if I leave Leo behind in California," Azarenka wrote, "which I'm not willing to do."
Azarenka has not played since Wimbledon, and the former No. 1 player is now ranked 204th. She was the runner-up in New York in 2012 and 2013, losing in the final each year to Serena Williams. Those were also the years that Azarenka won her two Grand Slam singles titles in Australia.
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