Senyoku no Sigrdrifa follows the story of humanity on the brink of despair due to an extraterrestrial threat known as Pillars. In this dire situation, a self-proclaimed god named Odin appears and bestows upon humans the power of Valkyries - young female warriors who pilot classic aircraft called Hero Wings. These Valkyries must now fight against the Pillars to protect their world and ensure the survival of humanity.