While the coalition said it conducted an airstrike there in the last 24 hours, American officials could not be immediately reached about the statement from Iraq, which has made incorrect claims before.
A ministry statement said the strike killed Abu Alaa al-Afari and others who were in a meeting inside a mosque in the city of Tal Afar.
It described al-Afari as senior deputy to the Islamic State group's leader, Abu Bakr al-Baghdadi.
It did not offer a time for the strike, nor any specific casualty figures. It did offer a black-and-white video clip of an airstrike hitting a building.
American officials could not be immediately reached regarding the strike. The US-led coalition said today it carried out a strike in the past day near Tal Afar, destroying "an ISIL fighting position and an ISIL heavy machine gun," using a different acronym for the group.
The US State Department's Rewards for Justice program lists Abu Alaa as one of the aliases for a wanted Islamic State group senior leader named Abd Al-Rahman Mustafa al-Qaduli.
The US Treasury Department adds that in 2006, al-Qaduli traveled to Pakistan on behalf al-Zarqawi to conduct an interview, which was then to be provided to al-Qaida leaders in Afghanistan.
The Treasury Department added al-Qaduli to the list of specially designated global terrorists in 2014 "for acting for or on behalf of ... The Islamic State of Iraq and the Levant," a former name for the Islamic State group.
