Twilight's Kiss (Suk Suk) presents the story of two closeted married men in their twilight years. One day 70-year old Pak, a taxi driver who refuses to retire, meets 65-year old Hoi, a retired single father, in a park. Despite years of societal and personal pressure, they are proud of the families they have created through hard work and determination. Yet in that brief initial encounter, something is unleashed in them which had been suppressed for so many years. As both men recount and recall their personal histories, they also contemplate a possible future together.