The Iranian team lost to Thailand’s Diamond Food 3-1 (20-25, 25-15, 25-11, 25-21) in the bronze medal match.
Barij Essence suffered four loses and earned two wins in the tournament.
Kazakh teams Altay and Kuanysh will play in the final match.
The tournament is being held in Semey, Kazakhstan, from April 24 to 30.
Japanese volleyball team JT Marvelous withdrew from the tournament due to the COVID-19 infection among their team members.