The fighting occurred in the Kurdish province of Hakkari, nestled up against the Iraqi and Iranian borders, DHA said, adding that three PKK fighters were also killed.
Turkey has been fighting the PKK since a fragile ceasefire between both sides collapsed in 2015.
The group is listed as a terrorist organization by Turkey, the US, NATO and the European Union.
The Kurdish insurgency led by the PKK has claimed more than 40,000 lives since it began in 1984. The PKK is mainly active in southeast Turkey, and it has rear bases in mountainous zones over the border in northern Iraq.
Turkey's military launched an offensive in May seeking to destroy those rear bases. A second phase of that operation was started Friday.
Reporter's code: 50101