The Reuters news-agency reported an unnamed Iraqi border guard official as saying there were no casualties in the shelling, which took place between 7am (04:00 GMT) and 9am (06:00 GMT).
The latest offensive came after Ankara vowed to pursue fighters of the Kurdistan Workers Party (PKK) inside northern Iraq.
Turkish warplanes repeatedly struck PKK targets in the mountainous north of Iraq in December and troops also made small-scale cross-border raids.
Turkey has also massed up to 100,000 troops on the border with Iraq.