Iran and Azerbaijan were neck-to-neck with both winning five bouts, but the classification points gave Iran the win.
Azerbaijan came second for the second time in a row.
Iran had defeated Kyrgyzstan (8-2) and Turkey (6-4) en route to the final.
Serbia, who was drawn in Group A, missed the tournament after a number of COVID-19 infections in the team.
The Iranian team took part in the competition in Baku, Azerbaijan with a mix of young and experienced wrestlers.