The incident took place when the provincial gendarmerie command and security forces conducted joint anti-terror operations in the Gole and Senkaya districts of the Ardahan and Erzurum provinces respectively, the statement said.
It said two soldiers were also hurt in the operations.
“Our forces continue operations with the support of our citizens,” the statement added.
Later in Oltu, a district in Erzurum west of Senkaya, one terrorist who had been injured by security forces managed to escape before being taken into custody, according to a local administrator.
The PKK -- listed as a terrorist organization by Turkey, the U.S. and the EU -- resumed its armed campaign against Turkey in July 2015.
Since then, it has been responsible for the deaths of some 1,200 Turkish security personnel and civilians, including a number of women and children.