Yazdani defeated American wrestler James Green 10-2 in the final match of 70kg.
The gold ended a long drought for Yazdani, who had won four silver medals at different international tournaments in seven years.
“This is the first gold medal for me at any international tournament, and I cannot tell you how happy I am,” Yazdani said. “I hope I made the Iranian fans happy.”
Bazri also defeated Erhan Yaylaci from Turkey 4-1 in the final weight of 92kg.
97kg wrestler Mohammad Hossein Mohammadian had previously won a gold medal in the tournament.