Luff was born in Ebbw Vale, Wales, and trained as a pianist. She was educated at the University of Wales and Cambridge and graduated with a Master of Arts degree. She took time out from her career for a family, and then studied piano at Royal Northern College. A Welsh Arts Council Bursary allowed her to study with Elizabeth Lutyens, Anthony Payne and Franco Donatoni.
After ending her musical studies, Luff lived and worked for many years in London and Birmingham, where she taught at the University School of Continuing Studies. She founded a music publishing firm with composer Julia Usher called Primavera. Luff now resides and composes in Cardiff.
Luff has composed a large number of works for solo instruments, chamber ensembles, and voice. Selected works include:
- 1986: Piano Sonata: "Storm Tide"
- 1989: Sleep, Sleep, February (Fl,Ob,Cl,Pno) a meditative piece
- 1992: Listening for the Roar of the Sun. (Solo oboe, Dancer, speaker, Slides)
- 1997: The Glass Wall (three dancers, solo Cello, and electronic tape)
- 1997: Studies for the Glass Wall (for solo cello)
- 1999: Telyneg (Lyric for Oboe and harp)
- Ariel Composers of Wales, Catherine Handley, flute, and Andrew Wilson-Dickson, piano. Cyfansoddwyr Cymru (2009)
- The Music of Enid Luff Contemporary chamber music. Ty Cerdd.
- "Enid Luff". Retrieved 27 September 2010.
- Sadie, Julie Anne; Samuel, Rhian (1994). The Norton/Grove dictionary of women composers (Digitized online by GoogleBooks). Retrieved 4 October 2010.
- Sadie, Julie Anne; Samuel, Rhian (1995). The Norton/Grove Dictionary of Women Composers (Digitized by GoogleBooks online). Macmillan.
- "Biographical Highlights". Retrieved 27 September 2010.
- "tjacksonmusic". Retrieved 28 September 2010.