It was unclear whether it was the Iraqi military or the US-led coalition against the Islamic State group (IS) -- the two forces flying armed aircraft in Iraq -- that mistakenly hit the fighters.
The raid happened at around 1:00 am today (2200 GMT yeesterday) east of the town of Qayyarah, which was recaptured from IS in August, the officials said.
Sheikh Nazhan Sakhr al-Lihaybi, the commander of the fighters who were killed, said they had succeeded in repelling an attack by IS jihadists in the area, and were bombed when they gathered after the end of the fighting.
Lihaybi said that the air raid also wounded five fighters, while Zaidan put the number at four.
The US-led coalition has been carrying out strikes against IS in Iraq since 2014, and the country's military also targets the jihadists with warplanes and helicopters.
The deadly strike comes as Iraqi forces prepare for a final push to retake Mosul, the last IS-held city in the country.
The Mosul operation - which Western officials have indicated could start this month - will involve a heterogenous coalition of sometimes rival Iraqi forces including soldiers, police, Kurdish peshmerga fighters, and both Sunni and Shiite militiamen.
The issue of which forces will actually enter the city is a contentious one, and there has been no public announcement of the roles the various forces will play.
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