The Kurdish People's Protection Units (YPG) militia controls key Syrian northern towns including Manbij and Afrin and is an ally of the USA but Ankara accuses the group of being a terror organisation.
"America has acknowledged it is in the process of creating a terror army on our border".
The British foreign ministry has said it will not be involved in the Syrian border force.
On Tuesday, Mr Erdogan vowed that Turkish troops and Syrian rebels would soon destroy "nests of terror" along its border, "starting with Afrin and Manbij".
"The US must eliminate the confusion and change its stance in favour of peace and improving relations with Turkey", he said during an address to police chiefs. "What we have to do is nip this terror army in the bud", Erdogan said in a televised speech on Monday.
The MGK statement again slammed the U.S. support for the YPG - an ally of Washington in the fight against Islamic State (IS) jihadists - saying it was "regrettable" that a North Atlantic Treaty Organisation ally had "declared terrorists as a partner".
Iranian President Hassan Rohani has joined Russia, Syria, and Turkey in opposing a new 30,000-strong border guard force inside Syria that the United States says is needed to keep Islamic State extremists out of the country.
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Even in cases where the government manages to find and free the girls, they may face opposition from the captives themselves. Those who return willingly must often wait weeks to return to their parents and loved ones after the military rescues them.
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One possible explanation for Canada's silence is that while the U.S.is backing the border force as a way to bring security to the region, many other countries have come out strongly against it.
The worldwide coalition said that the goal of this force is to prevent the return of ISIS, but Erdogan threatened to "destroy this terrorist army in its infancy", fearing that it will become a permanent force stationed at the Turkish border.
"Yes it is", he said, adding that Washington had not kept to its promise to take back weapons it had supplied to the Syrian Kurdish militia fighting the Islamic State group. Some 230 cadets have already been recruited to the new border force, according to the coalition.
"Let us be clear, the United States will maintain a military presence in Syria focused on ensuring ISIS can not re-emerge", Tillerson said.
Iran has backed President Bashar al-Assad's government since the beginning of the conflict in Syria, providing military advisers and militiamen for the Syrian army's struggle against terrorists and the armed opposition.
Russian Federation and Turkey, along with the government in Damascus, have also criticized the US/Kurdish plan. "Nobody should expect Turkey to show more patience". A spokeswoman for the UN's refugee agency told the BBC that they had not yet received reports of people leaving Afrin, but that it was prepared to help if needed.