The most common Korean word for “promise” is 약속 (yaksok). There is one more word with a similar meaning — compare them below. 「promise」는 한국어로 약속.
appointment; promise
TOPIK 1 · noun
promise; pledge; make an appointment
TOPIK 1 · verb
Words and levels: TOPIK I essentials (National Institute of Korean Language standard curriculum, KOGL Type 1) · examples: Cheesepotato