The 11-track collaboration with producer Brian Eno hits stores May 8 internationally and May 9 in North America, Billboard.com reported Tuesday.
It will mark Simon's first album since "You're the One" in 2000 and features guest appearances by guitarist Bill Frisell, drummer Steve Gadd and pianist Herbie Hancock.
Simon is scheduled to perform May 7 at the New Orleans Jazz & Heritage Festival and tours are being planned for summer and fall, a spokesman for the singer told Billboard.com.
Simon is scheduled to appear as the musical guest on the May 13 episode of NBC's "Saturday Night Live."
Sophia Loren celebrates 80th birthday