Team Melli defeated Hong Kong 60-31 and then beat host South Korea 72-17.
Iran had defeated Chinese Taipei 52-27 in the opening match on Tuesday.
Iran will meet powerhouse India on Thursday.
A total of six countries, namely Iran, India, Japan, Hong Kong, the Republic of Korea, and Chinese Taipei are competing in the competition.
The competition is being played in a single-legged round-robin format. The top two teams with the most points after the league phase will compete in the final on June 30.
The multi-national event was last played in 2017 in Gorgan, Iran. The competition of the Asian countries was first played in 1980.
India is the most successful team in history with seven gold medals in just eight editions. Meanwhile, Iran has clinched the title once, winning the gold medal in the 2003 edition.