Between 1980 and 1983 he toured the United States, Australia, and Europe with them, going on to work with Tommy Chase, the BBC Big Band, and Clark Tracey, with whom he recorded two albums.
In 1990 he was invited to join and tour with Dave Brubeck's band, and in 1993 he worked with Abdullah Ibrahim, touring Europe and South Africa. He has played with Mose Allison, Clark Terry, Mel Tormé, Anita O'Day, Peter King, Alan Barnes, David-Jean Baptiste, Van Morrison and Martin Taylor, among others. He also co-led a 14-piece band with his father, John Dankworth: the Alec and John Dankworth Generation Band (or "Generation Band"), with which he has recorded two albums.
In 2013 Dankworth toured with the Ginger Baker Jazz Confusion, a quartet comprising Dankworth on bass, drummer Ginger Baker, saxophonist Pee Wee Ellis and percussionist Abass Dodoo. Dankworth is also a tutor for the National Youth Jazz Collective.