Assailants riding on a motorcycle yesterday opened fire on a police car outside a hospital and then fled, the Dogan press agency said.
One died instantly and the second died after emergency surgery, it said, quoting the local governor, Mustafa Buyuk.
"Early indications are that it was an attack by the terrorist organisation," Buyuk said, in a reference to the rebel Kurdistan Workers' Party (PKK).
The Turkish government launched a major campaign against the PKK in late July, aimed at forcing it out of strongholds in southeastern Turkey and northern Iraq.
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Nearly 150 soldiers and police have been killed in attacks since July blamed on the PKK compared with more than 1,300 rebels, according to pro-government media. The pro-Kurdish Peoples' Democracy Party (HDP) says dozens of civilians have been killed in police and military operations.
The escalation comes ahead of snap elections on Nov 1.
The violence has shattered a two-year-ceasefire which had stoked hopes of an end to the PKK's three-decade insurgency, in which more than 40,000 people have died.