Tyree played trombone and vibraphone with local Texas bands before moving in the early 1930s to Washington, D.C., where he performed with several prominent bands of the Swing Era. He played with Bob Young (1930), then he joined Tommy Myles's band (1934–1936). After he left Myles, he moved to the West Coast, playing with groups headed by Charlie Echols (1936). Further, he played with Eddie Barefield (1936), Eddie Mallory's band (1937) and Benny Carter (1937) and played with Cab Calloway from 1939 to 1946.
He toured around Europe with Don Redman's big band (1946). From 1947 to 1951 he played with Duke Ellington as a wah-wah trombonist in the Tricky Sam Nanton tradition and Ellington's only vibraphonist, being well-featured on the Liberian Suite. After, he played also with Howard Biggs's Orchestra.
During the 1950s, Glenn did studiowork, led his quartet at the Embers, did some television, radio and acting work, and freelanced in swing and Dixieland settings. In 1953 he joined Jack Sterling's New York daily radio show, with which he remained until 1963. During 1965–1968, he toured the world with Louis Armstrong's All-Stars and played until Armstrong died in 1971. Later, Glenn led his own group during his last few years.
- 1957: At the Embers
- 1958: Tyree Glenn at the Roundtable
- 1958: Tyree Glenn's at the London House
- 1959: Try A Little Tenderness – Tyree Glenn with Strings
- 1960: Let’s Have a Ball – The Tyree Glenn Quintet
- 1961: At the London House in Chicago
- 1962: Trombone Artistry
With Clark Terry
- Duke with a Difference (Riverside, 1957)
- "Tyree Glenn, Jazz Trombonist In Era of Big Bands, Dies at 61", The New York Times, May 20, 1974. Retrieved November 26, 2007.
- Anderson, Pete (April 2004). "The Plunger Mute and Tyree Glenn". The International Trombone Journal 32 (2).
- "12th Annual Independent Music Awards Winners Announced!" Independent Music Awards, 11 June 2013. Retrieved on 4 Sept. 2013.