The date has not yet been set, but the concert was listed for a time on the Ticketmaster website as an upcoming event.
It will be Streisand's first performance in Brooklyn since she sang in the Erasmus Hall High School chorus with Neil Diamond in the 1950s.
The Barclays Center, home of the new Brooklyn Nets, will open on September 28 with a series of Jay-Z shows.
Streisand, a 70-year-old eight-time Grammy winner, grew up in Williamsburg and Flatbush. She last played in New York at the small Village Vaguard venue three years ago, and she previously played Madison Square Garden in 2006.
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