The agency, which is close to the Revolutionary Guards, described Dabirian as a "defender of Sayida Zainab shrine," the holy Shi'ite Muslim site south of Damascus, and as a former commander of the Guards in Palmyra, the ancient city in central Syria.
The Guards and Shi'ite proxy groups from other countries including Pakistan, Afghanistan, Iraq and Lebanon are fighting alongside Syrian President Bashar al-Assad's military in the nine-year-old civil war.
The Syrian Observatory for Human Rights, a UK-based organization which reports on the war, said a senior Iranian Revolutionary Guards' commander was assassinated in the Sayeda Zeinab area south of Damascus.