Turkish ground forces have crossed into Iraq in pursuit of Kurdish militants for the first time since a ceasefire two years ago.
Government officials said the incursion was a “short-term” measure to hunt down PKK (Kurdistan Workers’ Party) rebels.
Turkish warplanes also launched a wave of air strikes on PKK bases in northern Iraq on Tuesday.
Meanwhile, at least 14 Turkish police officers died in a bomb attack blamed on Kurdish militants on Tuesday.
The attack in eastern Igdir province came a day after suspected PKK bombs killed at least 16 Turkish soldiers in the south-eastern Hakkari region.
President Recep Tayyip Erdogan said the PKK had suffered “serious damage” inside and outside of Turkey and was in a state of “panic”.
“Turkish security forces crossed the Iraqi border as part of the hot pursuit of PKK terrorists who were involved in the most recent attacks,” a government source told AFP news agency.
“This is a short-term measure intended to prevent the terrorists’ escape.”
Turkey’s Dogan news agency said two special forces units, supported by warplanes, had been sent in to combat two 20-strong groups of militants.
At least 35 rebels were killed in air raids by F4 and F16 jets on bases at Qandil, Basyan, Avashin and Zap early on Tuesday, according to the Anadolu news agency.
Spiral of attacks – by Selin Girit, BBC News, Istanbul
Not a day passes by in Turkey these days without violence. And as one attack follows another, emotions are running high.
The funerals of 16 soldiers killed in Sunday’s PKK attack were taking place on Tuesday.
Several thousand people have protested in cities across Turkey against PKK violence and the premises of the pro-Kurdish HDP party have come under attack. There were reports of attempted arson.
There is now serious concern that the violence could spiral out of control.
Turkey is gearing up for snap elections on 1 November after the ruling AK Party lost its overall majority in June elections and failed to form a coalition government.
It was the HDP that deprived the AKP of its majority, polling over 13% of the vote and entering parliament as a political party for the first time.
Opposition figures have voiced concerns about maintaining poll security, especially in Turkey’s predominantly Kurdish east and south-east of the country.