Turkey earlier summoned US and Russian envoys to warn against supplying arms and support for Syrian Kurdish forces fighting the Islamic State (IS) group in Syria.
"We have a clear position. That position has been conveyed to the United States and the Russian Federation," Davutoglu said in televised comments.
"Turkey cannot accept any cooperation with terrorist organisations which have waged war against it."
A Turkish foreign ministry official told AFP that the US and Russian ambassadors were called to the ministry Tuesday "to convey Turkey's views" about Democratic Unity Party (PYD), the main Kurdish group in Syria.
Turkey labels the PYD as the Syrian offshoot of the outlawed Kurdistan Workers' Party (PKK) which has waged a bloody insurgency since 1984.
US-led coalition forces have parachuted in ammunition to anti-IS rebels in northern Syria, stepping their backing for groups battling jihadists.
The move follows the Pentagon's announcement last week that it would halt its much-criticised programme to train moderate rebels, and instead focus efforts on equipping pre-screened rebel leaders from groups actively fighting IS.
Russia is intervening in Syria with bombing raids in support of the regime of President Bashar al-Assad. A top Russian official last week held talks with PYD leader Salih Muslim to discuss the fight against IS.
Turkey is currently waging a two-pronged "war on terror" against both IS and the PKK, although so far air strikes have overwhelmingly focused on bases of the Kurdish militants in northern Iraq.
Davutoglu said today that there was an "organic bond" between the PKK and the PYD.
"We know that some of those who fled from (Turkish) operations against the PKK in northern Iraq joined the ranks of the PYD in Syria," he said.
He warned the United States and other allies against any cooperation with the PYD.
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