Deliveryman Jong-su is out on a job when he runs into Hae-mi, a girl who once lived in his neighborhood. She asks if he'd mind looking after her cat while she's away on a trip to Africa. On her return, she introduces to Jong-su an enigmatic young man named Ben, who she met during her trip. One day Ben tells Jong-su about his most unusual hobby.

Burning patiently lures audiences into a slow-burning character study that ultimately rewards the viewer's patience -- and subverts many of their expectations.