A spokesman for the Kurdish militia, Mustafa Bali, said his fighters downed the chopper in Raju, northwest Afrin.
But the Turkish prime minister said the cause of the helicopter's crash was not yet clear and investigations were ongoing.
"We don't have exact evidence or document to determine that it went down with any outside interference," Binali Yildirim told reporters in the western province of Mugla.
Yildirim said that two Turkish soldiers were killed in the helicopter.
Twenty one Turkish soldiers have died since the beginning of the operation.
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