This study examines the history and development of vibrato among classical saxophonists as well as briefly summarizes the history of vibrato in general from its origins on string instruments, the voice and other wind instruments. An analysis of recordings of early saxophonists shows the approximate time period of incorporation of vibrato on the saxophone and the influences of performers and musical styles on its development. Pedagogical methods of performing vibrato on the saxophone are included as well as a discussion of saxophone vibrato styles. An exploration of vibrato as an expressive musical device is provided along with conclusions drawn concerning performance practice implications.