Hancock joins ten-time Grammy-winning George Benson on the bill for the festival's fifth edition.
He will bring his electric band to the festival in East Sussex for what will be their only UK festival appearance of the summer.
Starting his career with Donald Byrd, Hancock shortly thereafter joined the Miles Davis Quintet where he helped to redefine the role of a jazz rhythm section and was one of the primary architects of the post-bop sound.
He was one of the first jazz musicians to embrace synthesizers and funk music. Hancock's music is often melodic and accessible; he has had many songs "cross over" and achieved success among pop audiences.
Through his teens, Hancock never had a jazz teacher, but developed his ear and sense of harmony. He was also influenced by records of the vocal group the Hi-Lo's.
"The time I actually heard the Hi-Lo's, I started picking that stuff out; my ear was happening.
"I could hear stuff and that's when I really learned some much farther-out voicings – like the harmonies I used on Speak Like a Child – just being able to do that.
"I really got that from Clare Fischer's arrangements for the Hi-Lo's. Clare Fischer was a major influence on my harmonic concept.... he and Bill Evans, and Ravel and Gil Evans, finally. You know, that's where it came from."
Hancock says that he's looking forward to playing at The Love Supreme Festival "with some new music that I'm working on and a new approach on some of my older tunes."