An officer was seriously wounded in the shootout with the alleged attackers in Gaziantep.
An officer was seriously wounded in the shootout with the alleged attackers outside police headquarters in the southeastern city of Gaziantep, the reports said.
NTV television said "terrorists attempted to enter the police building", prompting officers at the scene to open fire.
"One terrorist was neutralised and the other two are on the run," it said quoting witnesses, adding that an operation was under way to catch the other suspects.
The state-run Anadolu news agency said ambulances were sent to the scene but gave no reason for the clashes.
Turkey has been hit by a wave of attacks blamed on so-called Islamic State (IS) jihadists and Kurdish militants.
A gun attack on the Reina nightclub in Istanbul at New Year claimed by IS left 39 people, including 27 foreigners, dead.
Four days later a car packed with explosives blew up in front of the main courthouse in the western city of Izmir, killing a policeman and court worker.
The government blamed the outlawed Kurdistan Workers' Party (PKK) for the Izmir attack.