Yomogi Asanaka is a regular high school student who happens upon a mysterious young man named Gauma, who is disabled by hunger. Yomogi offers Gauma a sandwich, which earns Gauma's loyalty to him, as he reveals that he is a "Kaiju User". The next day, Yomogi is asked out on a date by Yume Minami, a strange girl from Yomogi's class who has a reputation for asking boys out on dates and then ditching them. Yomogi, skeptical of the rumors, accepts. Meanwhile, strange phenomena begins to occur around the city as random objects and buildings begin to float in the air...