She was one of nine children in the prolific Parra family. Her father, Nicanor Parra Alarcón, was a music teacher. Her mother, Clarisa Sandoval Navarrete had grown up in the countryside and was a seamstress. She sang and played the guitar, and taught Violeta and her siblings traditional folk songs. Among her brothers were the notable modern poet, better known as the "anti-poet", Nicanor Parra (1914–2018), and fellow folklorist Roberto Parra (1921–1995). Her son, Ángel Parra, and her daughter, Isabel Parra, are also important figures in the development of the "Nueva Canción Chilena". Their children have also mostly maintained the family's artistic traditions.