Lawrence “Bud” Freeman (April 13, 1906 – March 15, 1991) was an American jazz musician, bandleader, and composer, known mainly for playing tenor saxophone but also able at the clarinet.

In 1922, Freeman and some friends from high school formed the Austin High School Gang. Freeman played the C melody saxophone with band members such as Jimmy McPartland and Frank Teschemacher before switching to tenor saxophone two years later. The band was influenced by the New Orleans Rhythm Kings and Louis Armstrong. While Armstrong was in King Oliver‘s Creole Jazz Band, Freeman attended performances at Lincoln Gardens with McPartland. They were nicknamed “Alligators”. In 1927, he moved to New York City, where he worked as a session musician and band member with Red Nichols, Roger Wolfe Kahn, Ben Pollack, and Joe Venuti. One of his most notable performances was a solo on Eddie Condon‘s 1933 recording, The Eel, which became Freeman’s nickname for his long snake-like improvisations. Freeman played with Tommy Dorsey‘s Orchestra (1936–1938) and Benny Goodman‘s band in 1938 before forming the Summa Cum Laude Orchestra (1939–1940). Freeman joined the U.S. Army during World War II and headed a U.S. Army band in the Aleutian Islands.