Taraneh Jamchi scored 13 points, while Melina Ghofrani added 12 points for Iran. Raya Qawar earned five points for Jordan.
Iran will play Kazakhstan on Saturday for 9th place.
Chinese Taipei will play South Korea in the final match, while China face Japan in the third-place match.
The tournament serves as a qualification tournament for the FIVB Volleyball Girls' U-17 World Championship.
The top four teams and defending champion China will qualify for the 2026 U-17 World Championship as the AVC representatives.