An American jazz double bassist born in Miami, Florida. He was best known through his long association with John Coltrane from 1961–1967.

He formally joined Coltrane's quartet in 1962, replacing Reggie Workman. The long trio blues Chasin' the Trane is probably his first recorded performance with Coltrane and Elvin Jones. He appeared on many classic Coltrane recordings, including A Love Supreme. In concert with Coltrane, Garrison would often play unaccompanied improvised solos, sometimes as the prelude to a song before the other musicians joined in.

Garrison also had a long association with Ornette Coleman.