He defeated Taha Mahmoud of Egypt 6-4 in bronze medal match of the men's kumite +84 kg.
Abazari had lost to Ukraine’s Ryzvan Talibov 4-0 and failed to advance to the final.
Iran’s Sara Bahmanyar had claimed a gold medal in the women's kumite 50 kg on Friday.
The 12th edition of the World Games are taking place on August 7-17 in Chengdu, China.