Dylan, a 10-time Grammy winner, will perform with folk rock band the Avett Brothers and the British indie folk group Mumford & Sons. It was not known what songs he will perform, but his set is being billed as part of a salute to acoustic music.
Dylan, 69, has performed at the Grammys, before, including a notable 1998 episode in which a barechested man with the words "Soy Bomb" painted on his chest jumped on stage as he played.
Earlier this week, the Grammys announced that Streisand, 68, will perform, after being introduced by her "A Star is Born" co-star Kris Kristofferson. Last week, word came that Rolling Stones singer Mick Jagger would be performing a tribute to gospel great Solomon Burke.
It marks the first time Jagger has appeared on the Grammy stage. Jagger, 67, has only performed at the Grammys once, and that was by satellite when the Stones on a lifetime achievement award.