Midian is a son of Abraham with Keturah (Genesis 25:2). Four centuries later Moses flees from Egypt to the land of Midian. There he meets Jethro, the priest of Midian, and marries his daughter Zipporah.
The name Midian comes from the verb (din) meaning strife, contention. The derivative (madon) means strife, contention.
The name Midian differs only slightly from the name of Midian's brother Medan.
The name Midian means Strife (Jones' Dictionary of Old Testament Proper Names) or Place Of Judgment (NOBS Study Bible Name List).