Martin Williams studied jazz and saxophone with Gary Campbell at Florida International University in Miami, Florida. Upon returning to the UK, he joined the BBC Big Band at the age of 24, and has featured in hundreds of broadcasts on BBC Radio 2's Big Band Special. Outside of the big band, Martin is one of London's most versatile and in-demand woodwind session players, appearing with some of the world’s biggest artists and many different ensembles in a wide variety of musical settings.

He has appeared on over 200 television shows, over 1,000 BBC Radio broadcasts, and played over 130 studio albums, including 20 number ones, 25 platinum albums and 9 Grammy nominated albums. In 2010 he received a Grammy nomination for his participation in Jessye Norman's album Roots: My Life, My Song.

He studied composition and orchestration at the Royal College of Music, and has been prolific as a writer and arranger for concerts, broadcast, television, and library music. His compositions and arrangements have been played by the BBC Big Band, BBC Concert Orchestra, BBC Scottish Symphony Orchestra, City Of Birmingham Symphony Orchestra, Royal Philharmonic Orchestra, Hallé Orchestra, Bournemouth Symphony Orchestra, Michael Feinstein, Shirley Bassey, Craig David, The Jacksons, Lionel Richie, Jessye Norman, James Morrison, Amy Winehouse, and many more.