Is there a treaty or agreement covering the strait? Iran claims 12nm territorial waters for some areas:
https://www.cia.gov/library/publications/the-world-factbook/geos/ir.html
Iran doesnt have to claim that. Im pretty sure territorial waters are defined as that 12-mile limit under international law. The Strait of Hormuz is only 21 miles wide, so it falls within the territorial waters of Iran and the United Arab Emirates.