As previously mentioned, Eddie is the proud father of two children whom he shares with Jill. His first daughter, Olivia Vedder, was born in 2004. His second daughter, Harper Vedder, came along in 2008. In the fashion of having one of rock's most legendary voices as their father, both Olivia and Harper have expressed an interest in music. Olivia is an independent singer who has released songs such as "My Father's Daughter" and "There's a Girl." She has more than 70,000 followers on Instagram.

As for his younger daughter, Harper also has an interest in music. This is evident by the fact that she is the singer of the song "The Traveler," a track that was written by Eddie and sees the Pearl Jam star playing the ukulele while his daughter sings. He has also performed live with Harper singing backup vocals in the past.