The video (below) was created by Engine, WCRS, Partners Andrews Aldridge, Mischief and Slice, and was produced by independent agency Blinkink.
It features the band, a range of dancing toys and light installations - all of which were powered by E.ON solar panels and battery storage technology, Engine said. Gorillaz's new single 'We got the power' accompanies the film.
The campaign also includes the creation of the E.ON Kong Solar Studio, which will be launched on 10 June at the Demon Dayz Festival in Margate.
The installation - named after the studios in the band's cartoon universe - will be powered by the same solar and battery storage technology used in the video. Tracks recorded at the studio will be available on a special page of the E.ON website.
E.ON global head of marketing Anthony Ainsworth said: "Gorillaz have always inspired audiences and artists with their bold and pioneering approach to sound and visuals and that's exactly what this project was set up to showcase."
Engine, which has worked with E.ON for the last two years, won an extended brief in January to create digital content for the energy provider.