The pair are seen in a warehouse in the clip, which also features a cameo from Ed Sheeran.
Watch the 'Charge' video below:
The track - which samples Crystal Waters' 'Gypsy Woman' - serves as the third single from Sway's upcoming third album The Deliverance, which will be released in Spring 2013.
'Charge' follows previous single 'Level Up', which peaked at number eight on the charts in April this year.
The song will be available to download from December 2 via 3 Beat/All Around the World Records.