The series focuses on Taiki Inomata, a student at Eimei Junior and Senior High, an athletics-oriented school, where he is a member of the boys' badminton team and is considered simply average.

Every morning, he trains to get better early in the gym, often at the same time and place as his upperclasswoman Chinatsu Kano, the star of the girls' basketball team.

With Chinatsu now living with him, Taiki aims to slowly develop his relationship with her as they both strive to make it to the national championship with their respective teams.

[17][18] Blue Box has been licensed for simultaneous publication in North America as it is released in Japan, with its chapters being digitally launched by Viz Media on its Shonen Jump website.

[63] Anthony Gramuglia of Comic Book Resources (CBR) stated, "Blue Box is a sentimental story about human connection.

[64] Timothy Donohoo of CBR compared Blue Box to Kenta Shinohara's Witch Watch and Shigure Tokita's Don't Blush, Sekime-san!