France has launched a military offensive against Kurdish fighters in January.
Ankara is battling to drive out the Kurdish YPG militia, which it sees as an extension of the banned Kurdistan Workers' Party (PKK).
President Emmanuel Macron met members of the Kurdish-dominated Syrian Democratic Forces, including the YPG.
Mr Macron expressed hopes for dialogue between Turkey and the militia.
His office said he had "paid tribute to the sacrifices and the determining role" of the Syrian Democratic Forces (SDF) State (IS) group.
France has suffered a series of deadly terror attacks claimed by IS in recent years, including the Paris attacks which killed 1
Just a week ago, IS sympathiser killed three people in a rampage in southern france, including a police officer who died after swapping places with a hostage.
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The SDF is a key US is in the fight against IS and the Kurdish YPG forms a core part of it.
The US and the US have given the military weapons and training to support their battle against IS.
The US thus backs the YPG's assertion that it has no direct organizational left to the PKK, which Turkey calls a terror group.
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The president said France would support the "stabilization" of the north-east security zone.
Kurdish officials said Mr. Macron had committed himself to sending troops to the area but Paris declined to
Kurdish fighters from the Syrian-Kurdish city of Afrin. Activists said 280 civilians had been killed, although this was denied by Ankara.
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The SDF-controlled town of Manbij was hit by an attack Kurdish fighters did not leave immediately.
Sebastian Usher, Middle East Editor for the BBC World Service.
The Turkish national security council issued an ultimatum on Wednesday , says the US dimension to the conflict does not appear.
There is no sign that American troops have pulled back from Manbij, where they helped the SDF in its successful campaign against IS, our correspondent reports.