The government of Iraq has criticised Turkey's incursion into the north of the country targeting Kurdish rebels.
Iraq's Kurdish President Massoud Barzani warned that the regional government would not stand by if the Turks struck civilians.
"The regional government of Kurdistan will not be a part of the conflict between the Turkish government and the PKK fighters. But at the same time, we stress that if the Turkish military targets any Kurdish civilian citizens or any civilian structures, then we will order a large-scale resistance," it said.
Tariq Jawhar, a spokesman for the National Assembly of Kurdistan, a regional body, called on the US and Iraqi leadership to intervene and stop the Turkish operations.
"We want the Iraqi federal government and the US to ... work hard to stop this aggression and to seek peaceful negotiation to solve the problem," he said. "Such military operations are considered a clear violation of the federal Iraqi territory."
The offensive started late Thursday after aircraft and artillery blasted suspected rebel targets. It marked a dramatic escalation in Turkey's fight with the PKK, even though Turkish officials described the operation as limited.
The PKK is considered a terrorist group by the United States and European Union as well as Turkey.
The troop crossing was Turkey's first major ground incursion against Kurdish rebel bases in northern Iraq in nearly a decade. Turkey has sought to avoid confrontation with US-backed Iraq, saying the guerrillas were its only target.
The rebels are fighting for autonomy in predominantly Kurdish southeastern Turkey and have carried out attacks on Turkish targets from bases in the semiautonomous Kurdish region of northern Iraq. The conflict started in 1984 and has claimed as many as 40,000 lives.