What is the name of Mulan's father?

Mulan’s father is named Fa Zhou.

Fa Zhou is a veteran warrior and the head of Mulan’s family in the 1998 animated film. Although he is older and suffering from a leg injury, he is summoned to serve when the Emperor orders one man from each family into the Imperial Army. Because the Fa family has no adult son available, Zhou accepts the conscription despite the danger.

Mulan sees that her father may not survive another campaign. She secretly takes his draft notice, armor, and sword, cuts her hair, and leaves home disguised as a male recruit. She uses the name Fa Ping while serving in the army, taking his place without his knowledge.

Fa Zhou is often confused with Fa Li, who is Mulan’s mother, or Li Shang, the army captain who trains her. Yao is one of Mulan’s fellow soldiers, not a member of her immediate family. At the end of the film, Mulan returns with Shan Yu’s sword and the Emperor’s crest, but Zhou tells her that having her as a daughter is his greatest honor.