The 72-year-old Simon and Garfunkel frontman and Brickell, 42, got into it at their New Canaan, Conn. home on Saturday night and police were called.
Both Simon and Brickell were arrested on disorderly conduct charges.
No other information is available, but a news release is expected on Monday morning after police hold a briefing at 11:30 a.m.
Simon and Brickell married in 1992 and have three children together; Adrian, Lulu and Gabriel.
The 12-time Grammy winner is a member of the Rock n' Roll Hall of Fame and has found great success both with Simon and Garfunkel and as a solo artist.
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