A monitoring group with close links to the militants said the 13 were captured at a roadblock in the Sfeira region of Aleppo on Sunday and were handed over to Al-Nusra Front, also known as Jabhat al-Nusra.
Since the end of July, Al-Nusra Front and the Islamic State of Iraq and the Levant, another al-Qaeda-linked group, have kidnapped 250 Syrian Kurds.
On August 5, Al-Nusra Front terrorists attacked Tal Abyad district of Raqqa province in Syria, massacring 330 women and elderly men as well as 120 children.
On Sunday, Iran’s Kurdish lawmakers condemned the massacre and called for international action against the crime.
“The Majlis Kurdish lawmakers call on the human rights organization[s] and the UN chief to intervene and put an end to the massacre of the Syrian people, particularly the innocent people and civilians in Syria’s Kurdish regions,” Abed Fattahi, the head of the Sunni faction of Iran’s Majlis, said in an interview.
The massacre came a week after al-Nusra militants attacked two Kurdish villages in Aleppo and took around 200 civilians hostage.
Fighting between Kurdish militias and al-Qaeda-linked groups has been escalating in north and northeastern Syria in the past weeks after Kurdish fighters, who are opposed to foreign interference in Syria, managed to push back militants from several positions in the area.
On July 30, a powerful Kurdish militia said it was mobilizing against al-Qaeda-linked groups in northeastern Syria following the killing of a Kurdish opposition leader in the area.
Kurds in Syria make up 10 percent of the population and are mostly concentrated in the northern part of the country.
Syria has been gripped by deadly unrest since 2011. According to the United Nations, more than 100,000 people have been killed and millions of others displaced in the violence.