The Allmusic review by Michael G. Nastos awarded the album three stars, and states: "While not an essential or pivotal recording in Cannonball Adderley's career, Domination is one of few big-band joint efforts, an intriguing studio-produced sidebar in his otherwise stellar discography."[5] The All About Jazz review by Chris May calls the album "a curio for Cannonball fans, but something of more substantial interest to those interested in Zawinul's trajectory".[6]The Penguin Guide to Jazz awarded the album 3½ stars, stating: "Both Adderleys feature through a series of monumental sounding charts by Oliver Nelson - which come through mightily in an exemplary remastering - on some very enterprising material."[7]