A Facebook page belonging to Iraqi Security Media posted photos it said were of the strikes.
Earlier the official said seven people were killed by a missile fired at the airport,blaming the United States.
The dead included its airport protocol officer,identifying him as Mohammed Reda.
A security official confirmed that seven people were killed in the attack on the airport,describing it as an air strike. Earlier,Iraq's Security Media Cell,which releases information regarding Iraqi security,said Katyusha rockets landed near the airport's cargo hall,killing several people and setting two cars on fire.
It was not immediately clear who fired the missile or rockets. There was no immediate comment from the US.
Iraqi Security Media posted this photo of the aftermath of the strike that killed Quassem Soleimani and Abu Mahdi al-Muhandis at Baghdad airport.Credit:Facebook/@SecMedCell
The security official said the bodies of those killed in the airport attack were burnt and difficult to identify. The official added that Reda may have been at the airport to pick up a group of"high-level"visitors who had arrived from a neighbouring country. He declined to provide more information.
Saudi television channel Al-Arabya TV reported Soleimani was killed in the attack,along with the head of Kataib Hezbollah Abu Mahdi al-Muhandis. Iraqi state TV also carried the report quoting militia sources.
The attack came amid tensions with the United States after a New Year's Eve attack by Iran-backed militias on the US Embassy in Baghdad. The two-day embassy attack which ended on Thursday,Australian time,prompted President Donald Trump to order about 750 US soldiers deployed to the Middle East.
Trump earlier accused Iran of orchestrating the violence andthreatened on Tuesday to retaliate against Iran but said later he did not want war.
The breach at the embassy followed US air strikes on Sunday that killed 25 fighters of the Iran-backed militia in Iraq,the Kataib Hezbollah. The US military said the strikes were in retaliation for last week's killing of an American contractor in a rocket attack on an Iraqi military base that the US blamed on the militia.
US officials have suggested they were prepared to engage in further retaliatory attacks in Iraq.
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"The game has changed,"Defence Secretary Mark Esper said on Friday,telling reporters that violent acts by Iran-backed Shiite militias in Iraq - including the rocket attack on December 27 that killed one American - will be met with US military force.
He said the Iraqi government has fallen short of its obligation to defend its American partner in the attack on the US embassy.
The developments also represent a major downturn in Iraq-US relations that could further undermine US influence in the region and American troops in Iraq and weaken Washington's hand in its pressure campaign against Iran.
Reuters,AP