Martin Storey has performed in many countries around the world as a soloist and chamber musician and has served as principal cellist with many British orchestras such as the Philharmonia, Royal Philharmonic Orchestra, London Symphony Orchestra, Orchestra of the Royal Opera House, BBC Symphony Orchestra, London Sinfonietta and Scottish Chamber Orchestra. For over eight years he held the position of Principal Cellist with the BBC Scottish Symphony Orchestra and in 2019 he was appointed principal cellist of Scottish Opera.

Martin was a founding member of the highly successful Gould Piano Trio which won three international chamber music competitions. During his fourteen years with the trio he toured to many countries playing in major concert halls, radio broadcasts and music festivals including the BBC Proms Chamber Series.

Martin has broadcast chamber music many times on BBC Radio both in live concerts and studio recordings. He has recorded several CDs of chamber music for labels such as EMI, ASV and Naxos and his recording of the Brahms cello sonatas was released on the Oxford Classics label. He has given masterclasses at the Royal Academy and Trinity College in London, and in the USA, South Korea, Taiwan, Brazil, the Czech Republic and at the RCS in Glasgow.

From 2001 Martin lived in Kansas City, Missouri in the U.S. where he had an active career as a soloist and member of several chamber ensembles and was the cello professor at Park University in Parkville, Missouri.

In 2010 Martin moved to Glasgow to take up the position of Principal Cellist with the BBC Scottish Symphony Orchestra.