Intelligence Minister Mahmoud Alavi made the announcement in a talk with state TV late Saturday.
They were all killed by the security forces after an operation that took several hours.
People attend the funeral of the victims who were killed on the June 7 attack at the Iranian parliament and Ayatollah Khomeini's mausoleum, in Tehran, Iran June 9, 2017.
At least 17 people were killed and 52 others injured in Tehran on Wednesday when gunmen mounted nearly simultaneous assaults on Iran's Parliament and the Mausoleum of the late founder of the Islamic Republic, Imam Khomeini.
Alavi said the planner of the deadly attacks was stationed in the border areas and left the country after the terror attacks were carried out.
The intelligence ministry on June 8 revealed the identities of the five attackers and said they had fought for the IS in Iraq and Syria.
In Wednesday's attacks no member of the parliament was killed as the attackers were unable to reach the main building.
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He added: "I was excited from the first moment I got the call especially because of the history of the club". Rangers have confirmed the signing of Benfica's Daniel Candeias on a two-year deal.
This is the first time the Sunni extremist group carried out attacks in Shia-majority Iran.
Five attackers stormed Iran's parliament and a shrine to revolutionary leader Ayatollah Ruhollah Khomeini on Wednesday, setting off clashes with security forces and killing 17 people.
Iran's Intelligence Ministry also said in a statement on Friday that following a series of sophisticated intelligence operations and with the cooperation of the families of some of the terrorists, 41 elements of Daesh were identified and arrested before conducting any acts of terror.
On Sunday, the head of the justice department in Kordestan province in western Iran announced more arrests.
Larijani went on hail the value of the unity created among officials and nation in the wake of the dual terrorist attacks on Tehran, adding "the unity must not be damaged under any circumstances".
Bur speaking in response to Rohrbachers comments Matthew Levitt, director of The Washington Institute's Stein Program on Counterterrorism and Intelligence, said: "It's never in our interest to support a terrorist group like the Islamic State".
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