Lucie Arnaz was born and raised in Los Angeles, the daughter of Lucille Ball and Desi Arnaz, and is the sister of actor Desi Arnaz Jr.
Arnaz was a Trustee on the Board of The American Theatre Wing for 15 years (1999–2014). From about 2002 to 2007, Arnaz was the president of the board of directors of the Lucille Ball-Desi Arnaz Center in Jamestown, New York. She resigned over a dispute with the executive director over the future direction of the Center.