Burton Greene (born June 14, 1937) is a free jazz pianist born in Chicago, Illinois, though most known for his work in New York City. He has explored a variety of genres, including avant-garde jazz and the Klezmer medium. Greene rose to popularity during the 1960s on New York's free jazz scene, gigging with well-known musicians which included Alan Silva and Marion Brown, among a host of others. With Alan Silva he formed the Free Form Improvisation Ensemble in 1963.