The covers will make up the soundtrack for director Lian Lunson's film documentary of Cohen, "I'm Your Man," with many of the artists also appearing in the film, Billboard.com reported.
Most of the covers were filmed during a 2005 tribute concert for Cohen in Australia, where artists including Rufus Wainwright, Beth Orton, Antony and Teddy Thompson added their contributions to the project.
"I'm Your Man" is due out in U.S. theaters July 14. The soundtrack is set for a July 25 release.
2014: The Year in Fashion [PHOTOS]
Tracy Morgan hits back at Walmart