Andō Shigesue served as a bushō during the Sengoku and Azuchi-Momoyama periods.  He was the tenth head of the Minato-Andō clan.

In 1540, Shigesue was born as the third son of Andō Kiyosue, a sengoku daimyō and the seventh head of the Hiyama-Andō clan based at Hiyama Castle in Dewa Province.

As his older brother, Andō Chikasue, unified the Hiyama and Minato branches of the Andō family, Shigesue assumed the role as the tenth head of the Minato branch.  In substance, however, he was merely a puppet of Chikasue.

In 1570, kokujin, or provincial landowners, such as Toshima Kyūshin, from the environs of Minato Castle launched a rebellion known as the Second Minato Disturbance.  Shigesue, however, with the help of additional forces from Chikasue, succeeded in suppressing the rebellion after two years.  According to one theory, after this event, the Akita District came under the control of Chikasue while Shigesue moved to Toshima Castle.

In 1589, Shigesue’s son, Andō Michisue, launched a rebellion against Akita Sanesue, the son of Andō Chikasue, known as the Third Minato Disturbance.