Born in Basel, Holliger studied at the Basel Academy and then at the Conservatoire de Bruxelles. She subsequently went on to pursue a solo career, alone or with her husband, oboist, conductor and composer, Heinz Holliger.
She was one of the most important harpists, particularly in the field of contemporary music, where she played and created many works dedicated to her or her husband: Elliott Carter (Trilogy, 1992; Mosaic, 2004), Alberto Ginastera (Concerto), Henze's Double concerto, 1966), André Jolivet (Controversia, 1969), Witold Lutosławski's Double Concerto, 1980), Ernst Křenek (Kitharaulos, 1972), Frank Martin's Petite symphonie concertante, 1945), Alfred Schnittke (Concerto for oboe and harp, 1970 Eucalypts I, 1970), Isang Yun (Double concerto for oboe and harp, Gong-Hu, In balance, 1987), Tōru Takemitsu (Concerto for oboe and harp) and Heinz Holliger (Mobile, 1962; Trio, 1966; Praeludium I et II 1987).
She performed, among others, under the direction of Michael Gielen, Pierre Boulez, Simon Rattle, André Previn, Neville Marriner and Heinz Holliger. In the classical repertoire, she has played with flutists Peter-Lukas Graf and Aurèle Nicolet for Mozart's concerto or works by Spohr; and in chamber music, she formed a harp duet with harpist Catherine Einsenhoffer and a regular duet with violinist Hanna Weinmaster.
As a teacher, she taught at the Hochschule für Musik Freiburg and in Basel.