Azure Striker Gunvolt is set during an unspecified date in the near future, in which several people called "adepts" have developed "septimal powers". These powers enable superhuman feats including flight, the use of powerful energy weapons, and manipulation of the elements like fire, water, and electricity. The world is at peace thanks to the efforts of a world-spanning corporation known as the Sumeragi Group. However, the Sumeragi Group is, in reality, controlling and experimenting on adepts. Gunvolt, one of the most powerful adepts, has the ability to create electrical fields and works for an organization known as QUILL, which is seeking to reveal and put a stop to Sumeragi's ulterior motives.