A statement posted on the website of the Turkish Armed Forces said the attack took place at 3 AM but did not provide an exact location for the strike.
Turkey’s state-run Anadolu news agency said the airstrike took place near the town of Al-Bab, which Turkish-backed Syrian opposition forces are trying to take back from the Islamic State group.
One of the wounded soldiers was said to be in critical condition, the military said.
The bodies of the dead have been taken to the morgue in the southeastern Turkish city of Gaziantep by helicopter, the army said.
The 10 wounded soldiers were being treated at hospitals in Gaziantep and in the neighboring city of Kilis.