The Recording Academy didn't announce the song the couple would perform, but there was speculation that it might be from Lopez's new album, "Rebirth," which is due out March 1.
Lopez and Anthony have sung together before — on "No Me Amas" from her 1999 album, "On the 6," and on "Escapemonos" from Anthony's "Amar Sin Mentiras." The couple reportedly were married in Beverly Hills, California, last June.
Anthony is nominated for best Latin pop album for "Amar Sin Mentiras" and best salsa/merengue album for "Valio La Pena."
The Feb. 13 Grammy Awards show, to air live from the Staples Center in Los Angeles on CBS, also will feature a tsunami relief fund-raising musical performance of John Lennon and Paul McCartney's "Across the Universe," featuring Bono, Stevie Wonder, Norah Jones, Alicia Keys, Velvet Revolver, Tim McGraw, Brian Wilson and others. The performance will be available on iTunes.
Hoobastank, Alison Krauss, Tyra Banks and Steven Tyler were also announced as presenters, joining Ellen DeGeneres, Ludacris, John Travolta and others, The Recording Academy said Wednesday.