Rockets struck 70 People's Protection Units (YPG) targets yesterday, the Turkish armed forces said in a statement that did not reveal whether any militia fighters had been killed.
The strikes came after two Ankara-backed Syrian opposition fighters were injured when YPG forces opened fire south of the flashpoint town of Jarabulus, the military said, quoted in the official Anadolu news agency.
Turkey views Syria's YPG and Kurdish Democratic Union Party (PYD) as terror groups linked to the outlawed Kurdistan Workers' Party (PKK), staging an insurgency in Turkey since 1984.
Quoted by Anadolu, the minister again accused the YPG of seeking to create its own larger "canton" rather than focusing on the fight against IS, pointing to "attacks on moderate opposition" as evidence of this.
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The PKK is proscribed as a terrorist organisation by the United States and European Union.
Late Wednesday, Turkish jets struck YPG positions and the armed forces claimed they killed up to 200 fighters from the group, but the Syrian Observatory for Human Rights put the toll lower.
Turkey has clashed with the United States over the YPG, with the Americans' support to the Syrian Kurdish militia causing friction between the two NATO allies.
Despite Ankara's protests, Washington believes the YPG is the most effective fighting force against IS in Syria.
Turkey's Prime Minister Binali Yildirim said yesterday the US was making a mistake supporting the Syrian Kurdish fighters.
"Unfortunately their use by the United States against Daesh (IS) and being supplied with arms is a big mistake. We have made it clear to them," he said.
Turkey has sent dozens of tanks and hundreds of troops into Syria to support rebels seeking President Bashar al-Assad's ouster, and the army says 1,265 square kilometres (488 square miles) have been secured since August.
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