Jia Kui was a native of present-day Lifen, Shanxi. After appointments to several posts as prefect, administrator, and registrar to the chancellor, Jia Kui was honored with the title of a "Secondary Marquis" for his work in keeping his lands prepared for battle and well-supplied. During a skirmish with the rival state of Eastern Wu, Jia Kui defeated the forces of Lu Fan, earning further accolades.
In 228, during the reign of Cao Rui, he was posted with Cao Xiu to invade Eastern Wu, at the Battle of Shiting. Cao Xiu was taken in by Zhou Fang's defection, but Jia Kui was not convinced. As he had seen through the defection, the invasion was unsuccessful and Jia Kui rescued Cao Xiu after the latter was isolated by the false defection of Zhou Fang, leading to a successful retreat.
Jia Kui's son, Jia Chong, served as an official during the Jin Dynasty after the end of the Three Kingdoms period.