Winning gold medals at 51 kg, 60 kg and 71 kg, Russia collected 168 team points, while Iran went 1-2 in its gold-medal matches to finish with 166 points.
Soheyl Yousefi won the gold medal in the 92kg on the final day, while Ali Mehran Arab Firouzjaei in 45kg and Erfan Mohammad Elahi in 60kg won silver medals and Abolfazl Valipour claimed a bronze medal in 71kg.
Iran had already won two gold medals and one silver on day one.
Rahman Amouzad Khalili and Amirhossein Biglar Firouzpour had won two gold medal in 48kg and 80kg respectively.
Mahdi Mehrdad Veisi also claimed a silver medal in 55kg.
Team standings
1. Russia – 168
2. Iran – 166
3. India – 106
4. Japan – 83
5. USA – 78
6. Uzbekistan – 68
7. Azerbaijan – 66
8. Ukraine – 59
9. Turkey – 58
10. Georgia – 54