The YPG withdrew from the Tal Abyad and Ras al-Ain border positions in recent days, proving it is serious about ongoing talks, the Kurdish-led authority in north and east Syria said.
The withdrawal marks a sign of progress in talks between Washington and Ankara seeking to resolve deep differences over the presence along the border of Kurdish fighters -- U.S. allies that Turkey sees as enemies.
After Ankara repeatedly warned it would launch a military incursion into northeast Syria targeting the YPG, Turkey and the United States said this month they had agreed on the first stages of a security deal along the border.
The two countries gave no details of the deal on what Turkey has called a "safe zone" inside Syria. It followed months of stalemate over how far the zone should extend into northeast Syria, still a main source of friction, and who should command forces patrolling it.
A senior Turkish official and a top Syrian Kurdish official said points of contention remain over the zone, which Turkey wants to extend 20 miles (32 km) into Syria.
The YPG spearheads the Syrian Democratic Forces (SDF) alliance, which controls much of north and east Syria. U.S. troops have been stationed in the region for years, training and arming the fighters who seized territory from Islamic State.
President Donald Trump announced late last year he would withdraw the U.S. troops, sparking fears among the Kurds of a Turkish attack, but has so far held back from doing so.
U.S. support for the YPG has enraged Turkey, which deems the Syrian Kurdish fighters a security threat linked to Kurdish insurgents at home.
SDF spokesman Mustafa Bali told Reuters the strip along the border would vary between 5 and 14 km (3-9 miles) and will include rural areas or military positions, not cities or towns.
The YPG and SDF will dismantle barricades there and hand over control to military councils of local fighters, he said.
Bali said Turkish and U.S.-led coalition forces would patrol the border strip but be based inside Turkey. The deal creates "a security mechanism, not safe zone, that assuages Turkey's claims of fearing over its national security," he added.
Senior Kurdish official Badran Jia Kurd said there was no "final deal yet as the talks are ongoing, and the threat remains." He said the YPG move shows commitment to the agreements.
Ankara has already sent its military twice into northern Syria to drive the YPG from its borders in recent years.