Tull was born in Waco, Texas, where he attended public schools.
In 1957 Tull became a faculty member at Sam Houston State University in Huntsville, Texas, serving as Chairman of the Department of Music since 1965.
His works are generally tonal but harmonically adventurous and rhythmically vigorous, and show a strong influence of Medieval and Renaissance music.
Most of his works are published by Boosey & Hawkes (with which he was on contract since 1974) and Southern Music Company, with other works available from Western International Music, Ludwig Publishing Company, TRN, and the International Trombone Association Manuscript Press.
On July 13, 1996 the Fisher A. Tull Memorial Gazebo was dedicated in downtown Huntsville.