The Ministry of Defence said in a statement that the operation was led by the Iraqi army in the northern province of Nineveh.
The U.S.-led coalition aircraft conducted an airstrike on a tunnel used by IS militants as a hideout in the province, killing four of the extremist militants inside.
However, a further detail about the exact location of the tunnel was not provided in the statement.
A force from the Iraqi army carried out a search operation, looking for IS remnants in al-Fawarat in al-Baaj area near the border with Syria, killing two IS militants, one of them a Syrian national.
The security forces also conducted another search operation outside the town of Bashiqa in northeast of the provincial capital Mosul, about 400 kilometres north of Baghdad.
The coalition aircraft found a minefield, four explosive devices and three artillery shells left by IS militants and destroyed them all.
Security situation in Iraq was dramatically improved after Iraqi security forces fully defeated the extremists IS militants across the country late in 2017.