First training in art, Davies was one of the first year's intake of full-time students at the London School of Contemporary Dance. Her works White Man Sleeps and Wyoming have been included on the dance GCEA-Level syllabus. Her work Bird Song is being used in GCSE Dance syllabus as Set Work (2008–2010). She is considered to be among the top contemporary dancemakers in the UK.
Davies was born Susan Davies in 1950 and first performed with the company that came to be Dance TheatreRobert Cohan in 1967. She was made Resident Choreographer in 1984 before leaving the Company in 1985. In 1986 Davies won the Fulbright Arts Fellowship, the first ever to be awarded to a choreographer.
Davies founded Siobhan Davies Dance, a contemporary dance company in the United Kingdom, in 1988. After a 17-year-long peripatetic existence, including performances at Sadlers Wells, the company moved to the new Siobhan Davies Studios in Southwark, London, in January 2006. The building regularly hosts visiting companies, artists and events. It also runs a programme of classes and workshops. The touring company produces and performs the work of Siobhan Davies. In addition to touring in the UK and abroad, the company regularly takes part in the annual Dance Umbrella season.