The governor of Turkey’s Hatay province says a small number of people were also injured in the incident in the town of Iskenderun, but none of them were in serious condition.
Gov. Rahmi Dogan said police tried to stop the militants' vehicle at a road block close to the nearby town of Payas, triggering the police chase that continued into Iskenderun.
The suspects then tried to escape on foot. According to Dogan, one of them died after setting off an explosion, while the second was killed by the security forces. CNN-Turk television said the explosion was caused by a hand grenade.
The governor said the suspects were affiliated with the outlawed Kurdistan Workers Party, or PKK or its Syria-based sister organization. They had fled their hideout in the Amanos Mountains, also in Hatay province, following Turkish security operations there, he said.
Dogan added that the two suspects were part of a group of four militants who had flown to the Amanos from the Syrian town of Manbij, in Aleppo province, using powered paragliders. He did not identify the suspects, the Associated Press reported.