The team came ahead of its Spanish and Egypt rivals ranking second and third respectively.
On the closing day of the competitions, Nasr Azadani won the sixth gold medal in minus 74 category in final stage by beating his Spanish rival, bringing the number of Iranian medals to eight.
Earlier, he defeated his rivals from Brazil, US, Italy and Spain.
The G1 Class German International Taekwondo Tournament involving 865 taekwondo athletes from 62 countries opened in Hamburg on Friday and ended late on Sunday.
The rank holder taekwondo athletes of the world federation are competing in the tournament to gain more scores to berth for the Brazil 2016 Olympics.