In the 70kg, Erfan Elahi defeated Dzhabrail Gadzhiev from Azerbaijan 7-5 and won a gold medal.
Mohammad Nokhodi beat Azerbaijan’s Ashraf Ashirov 7-5 in the 79kg and won the second gold for Iran.
Alireza Abdollahi also seized a bronze after beating Macedonian Radu Lefter 5-4 in the 97kg.
Four other freestyle wrestlers from Iran have a chance to win gold on Wednesday.
The championships began in Ufa, Russia on Monday.