In this article, the core concepts of family-centred care will be discussed in relation to family-centred Music Therapy with preterm babies and their parents in the neonatal intensive care unit. Then, the basic pillars of a family-centred Music Therapy programme at the neonatal intensive care unit of the Hospital Centro Policlínico del Olaya in Bogotá, Colombia, will be illustrated by selected case vignettes. Parents are considered to be an important ally in caring for their baby in the neonatal intensive care unit and family-centred Music Therapy actively seeks to provide early relational and communicative experiences between parents and their babies. However, family-centred Music Therapy goes beyond the integration of parents and needs to carefully balance out the fluctuating needs of the babies, parents and the emerging relationship between them.