"The presidential office is following with concern the ongoing Turkish operations on Iraqi territory in the Kurdistan region and regards them as a violation of Iraqi sovereignty and a threat to Iraq's national security", the office said in a statement.
On Monday, Ankara announced it had started a new military operation against the Kurdistan Workers' Party (PKK) in northern Iraq, using special forces and military aviation.
The PKK is a Kurdish militant and political organistaion, which is is recognised as a terrorist group in Turkey.
Ankara has been fighting the PKK, which seeks to establish Kurdish autonomy in Turkey, since the early 1980s. The two sides signed a ceasefire agreement in 2013, but it collapsed just two years later over several terror attacks that Turkey blamed on the Kurds.