Alexander Ffinch studied at the Royal College of Music, and was later organ scholar of Keble College, Oxford where he subsequently became a pupil of Thomas Trotter. He was resident organist at Lancaster Town Hall where he gave over 100 recitals in the 1990's also winning recognition in the St Albans Interpretation Competition in 1999. He performed regularly in the UK, Europe and the USA and is a well-known international recitalist. His career has led to numerous engagements including: York Minster, Kings College Cambridge, St John's College Cambridge, St Johns Smith Square, Birmingham Town Hall, Cambridge Summer Music Festival and Westminster Cathedral; and abroad, Lambertikirche Munster, Bavokirk Haarlem, St Nlkolaskirk Amsterdam, Wiesenkirche Soest, DreiKonigskirche Frankfurt, Christ Church Christiana Hundred USA in 2003, 2005 and 2007; and in 2008 a recital at the Hong Kong Academy for Performing Arts to mark the centenary of Messiaen's birth.

He was appointed College Organist of Cheltenham College in 2004, after a three-year tenure as Director of Music at St Catharine's College, Cambridge and he continues to give recitals regularly. In 2009 he is organist on the newly released disc, 'Salve Puerule' (Herald Records) a collection of Christmas choral music celebrating the voice of Andrew Swait with Trinity College Chamber Choir and recital engagements include St Mark's Berkeley, San Francisco, The Cathedral of St John The Divine, New York, St David's Cathedral, Westminster Cathedral and Westminster Abbey.