Dehbozorgi won a gold medal at the 45kg after beating Jeremy Peralta González from Ecuador 8-0 in the final match.
Bulgarian Edmond Nazaryan claimed the bronze medal.
Moreover, Nosrati beat Turkey’s Osman Ayaydın 3-1 in the 92kg final.
The bronze medal went to Mukhammad Evloev from Russia.
Wrestling at the 2018 Summer Youth Olympics is being held from 12 to 14 October.
The events take place at the Parque Polideportivo Roca in Buenos Aires, Argentina.