Jego brat, Nat Adderley, był muzykiem jazzowym grającym na trąbce i kornecie.
Dyskografia Jako lider (1955) (1957) (1958) (1958) – z Milesem Davisem, Hankiem Jonesem, Samuelem Jonesem, Artem Blakeyem (1958) (1959) – z Johnem Coltrane’em (1959) Cannonball and Coltrane (1959) (1959) – z Kennym Dorhamem (1960) Them Dirty Blues (1960) What Is This Thing Called Soul? (1960) Sweet and Lovely (1960/1961) Know What I Mean? (1961) – z Billem Evansem African Waltz (1961) The Quintet Plus (1961) Nancy Wilson and Cannonball Adderley (1961) In New York (1962) Cannonball’s Bossa Nova (1962) Dizzy’s Business (1962) Jazz Workshop Revisited (1963) Nippon Soul (1963) Cannonball Adderley’s Fiddler on the Roof (1964) Domination (1965) – Aranżacja – Oliver Nelson Mercy, Mercy, Mercy! Live at 'The Club' (1966) Cannonball in Japan (1966) Why Am I Treated So Bad! (1967) 74 Miles Away (1967) Radio Nights (1967) Accent on Africa (1968) Country Preacher (1969) The Price You Got to Pay to Be Free (1970) The Black Messiah (Live) (1972) Inside Straight (1973) Pyramid (1974) Love, Sex, and the Zodiac (1974) Phenix (1975) Big Man (1975) (Musical z Joe Williams i Randym Crawfordem)