The music therapy charity will award the Eurythmics singer for her services to music and her humanitarian efforts.
Lennox will be given the prize at a ceremony at the London Hilton Hotel on July 1. Previous winners include The Rolling Stones, Paul McCartney and Muse.
On winning the award, Lennox said: "I've supported Nordoff Robbins over the years and I'm a firm believer in their work and the healing power of music."
Chairman David Munns said: 'We are proud and honoured to be awarding Annie Lennox the O2 Silver Clef Award.
"As a prize that recognises the contribution a British artiste has made to music, I can think of no more worthy recipient. As an outstanding musician and philanthropist, Annie's influence has been felt globally."
Tinie Tempah will also win the 'Best Newcomer' award at the ceremony, while Alfie Boe will receive a Classical Award.
Annie Lennox was recently awarded an OBE for her extensive charity work in Africa.
Watch the video for Annie Lennox's 1995 single 'No More "I Love You's"' below: