The group claimed to have obtained sensitive information regarding domestic and international flight maps, FarsNews reports.
The group said that they had ability to cause disruption in services such as flight routing, communications between plane and ground stations.
"By the grace of God, we could gain access to iaa.gov.il LAN and in addition to obtaining sensitive information, seized full control over the management panel." The group said in a statement.
"But as the world knows, killing women, children and innocent people is a profession exclusive to Israel and its neophytes, and we, as ordered by Islam, do condemn such moves and, thus, find it sufficient to release sensitive information to prove that we have had the access to the servers and downed the website. "
Hackers said they had access to the server for months and downloaded a huge amount of data. They also claimed to have wiped the whole server data.
The leaked information includes 'Domestic and international flight information Database', 'Some of the flight briefing files which are only provided to pilots and control towers', 'Management and flight routing software information', 'Weather condition maps'.