The Iranian team overpowered Azerbaijan 7-1 to book a place in the final match.
Team Melli then beat USA 5-3 at the Forum in Los Angeles.
Iran had already defeated Belarus 8-0 and Turkey 7-1 in the event.
Azerbaijan topped Russia by criteria for third place. The two teams were deadlocked at 4-4 and classification points were tied at 15-15 sending the match to technical points, which Azerbaijan won 34-28.
Belarus defeated Mongolia 5-3 for fifth place and Cuba defeated Turkey 5-3 for seventh place.
The Wrestling World Cup has been conducted every year since the 1973 tournament. The World Cup began as a dual-meet competition for the top teams on each continent, but now features the top teams in the rankings of the previous year's world championships.