The IS, which had seized control of much of northern Iraq in 2014, lost Shirqat to USA -backed Iraqi security forces supported by Sunni tribal fighters in 2016.
The operations was based on intelligence reports, which said that a number of IS militants hide in the area and are preparing for terrorist attacks against the security forces and civilians in the oil-rich Kirkuk province, the statement said.
In the town of Nijana, south of the oil city of Kirkuk, five members of one family were killed by militants who set up a fake security checkpoint on a main road.
Local police said their five charred corpses were found inside the burned-out vehicle after the militants fled the scene. In recent weeks, suspected Islamic State insurgents have carried out several attacks targeting security forces in Mosul.
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Another passer-by was also killed inside his vehicle during the attack, said police sources.
10 civilians were killed while five others were injured, Shamir said adding that the wounded were dispatched to hospital.
Baghdad was the worst affected Governorate, while Anbar Governorate ranked second.
Iraqi security forces launched an operation last month to consolidate control of the Hamrin mountain range near Kirkuk, meant to be used as a transit route for Iraqi oil trucks heading for Iran.
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Iraq declared victory over Islamic State in December with the help of a US-led alliance, having retaken all the territory captured by the extremists in 2014 and 2015.
Iraqi security officials have warned that they expect a new phase of guerrilla warfare from remaining ISIS adherents.
Abadi made the remarks during his speech at the opening ceremony of the sixth edition of International Defense Exhibition held in the capital Baghdad.
He noted that the terrorists escaped from the region after the attack.
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