Anab is one of the regions where the descendants of Anak resided. It was conquered by Joshua (son of Nun).
Josh 11:21At that time Joshua went and destroyed the Anakim from the hill country, from Hebron, from Debir, from Anab, and from all the hill country of Judah and all the hill country of Israel. Joshua utterly destroyed them with their cities.
Later, it became the land of the tribe of Judah.