In case of Korea, while discrete mathematics is included in the traditional school curriculum the 7th Educational Reform adds a new topic of Graph Theory making it an optional subject of highschool mathematics. However, a systematic research on the curriculum of discrete mathematics is still unsatisfactory. This study is focused on comparing the curriculum of discrete mathematics in Korea with that of other countries including the United States, Britain, Japan, and Canada. Consequently, it looks into problems concerning the school curriculum of discrete mathematics in Korea to devise a proper measure to improve.