Six jets were sent to the area in response to three such incidents on Saturday, the statement said, adding that there was no violation of Turkish airspace.
Last month, Syrian forces shot down a Turkish jet in the border area.
The incident further strained already tense relations between former allies.
The scrambling of the jets is a sign of continuing tensions. A little over a week ago, Syria shot down a Turkish warplane. Syria says that the aircraft was flying inside Syrian airspace - a charge denied by Turkey.
Following this incident, the Turkish government announced that it had revised its military rules of engagement towards Syria. From now on, every military element that approached the Turkish border from Syria would be considered as a threat. The military has now acted on its new rules.
Turkey is keen to show that it's protecting its territory. The government allows its southern border region of Hatay to be used as a staging ground for Syrian opposition rebels. But it doesn't want this region to become an actual battleground.
On Friday, Turkey said it had begun deploying rocket launchers and anti-aircraft guns along the border in response to the downing of its F-4 Phantom jet on 22 June.
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