Turkey began attacking the militants, known as Peoples' Protection Units (YPG), in the nearby region of Afrin on January 19 after the U.S. announced plans to set up a 30,000-strong force with their help close to the Turkish border in Syria.
Turkish troops and allied Syrian rebels also captured "areas of critical importance" in the surrounding Afrin region, a statement said on March 13.
On Friday, Turkey's military and its rebel allies had besieged Afrin and were nearing its town centre, President Recep Tayyip Erdogan said, in what would mark a major advance in Turkey's military operation.
After securing the liberated regions, Turkey is firstly helping locals return home and the Turkish Red Crescent (Kizilay in Turkish) and the Prime Ministry Disaster and Emergency Management Authority (AFAD) are conducting aid activities simultaneously, the statement said.
Turkey is now undertaking an air and ground offensive in Syria as part of "Operation Olive Branch" against the YPG, Kurdish militias that have been affiliated to the Kurdistan Workers' Party (PKK), a designated terror organisation that has launched continual attacks against Turkey.
In a separate incident, another soldier was martyred during clashes with Kurdistan Worker's Party (PKK) militants in Turkey's eastern Ağrı province.
Azad Mohamed, a 32-year old resident, said his relatives were fired upon as they tried to escape Monday, forcing them to turn back.
Meanwhile the Syrian regime is trying to crush Syrian rebel groups in eastern Ghouta on the outskirts of the capital Damascus.
Medical evacuations of sick and wounded patients from Eastern Ghouta began on Tuesday, according to Reuters.
Haley said the Security Council's previous cease-fire agreement, which came into effect last month, had "failed".
Opposition activists say more than 1,100 civilians have been killed since the latest offensive began in February. The United States presented a new draft resolution to the Security Council on Monday, as France urged Russian Federation to put pressure on Damascus to end what its UN envoy called a "bloodbath".
Thanks in large part to Russian military and diplomatic support, Assad's forces have managed to retake most of the territory seized by opposition fighters during the conflict.
The area is not connected to eastern Ghouta, the main rebel enclave near the capital, which has been subject to a fierce assault by pro-Syrian government forces for almost a month.