The army, quoted by the official news agency Anadolu, said the raids hit 18 targets north of the battered Syrian city of Aleppo, areas recently recaptured by the People's Protection Units (YPG) from the Islamic State group.
It said the raids killed between 160 and 200 YPG militants.
The Syrian Observatory for Human Rights in Beirut, however, put the toll much lower at at least 11 fighters from the Syrian Democratic Forces (SDF)-- a US-backed alliance of Kurdish and Arab fighters -- killed and 24 wounded.
Ankara has repeatedly said it will not allow a "terror corridor" on its southern border and wants to prevent the joining of the Kurdish "cantons" of Afrin and Kobane.
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The strikes come on the eve of a visit to Turkey by US Defence Secretary Ashton Carter to discuss developments in the region including the Syrian conflict and the offensive to recapture Iraq's second city of Mosul which began this week.
Ankara considers the YPG and the Kurdish Democratic Union Party (PYD) as terror groups linked to the outlawed Kurdistan Workers' Party (PKK).
In a statement, the Kurdish Rojava region in Syria condemned Ankara's actions as "blatant aggression", calling for the United Nations, Moscow and Washington to "put direct pressure on Turkey to stop its attacks".
President Recep Tayyip Erdogan has previously said Turkey and Washington had been discussing a joint operation to take territory back from IS but has warned the US not to launch any offensive with the YPG.
Michael Stephens, senior research fellow at the London-based Royal United Services Institute said Turkey's actions were "a message and a warning to the YPG 'understand something, you won't join these two cantons up. There are going to be consequences'".
The strikes were part of Turkey's military operation in northern Syria launched on August 24. Ankara has sent in tanks and has been striking jihadist targets while supporting Syrian opposition fighters in their battle to retake IS-controlled territory.
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