The clashes broke out in Tal Abyad village on Monday when the al-Nusra terrorists were attempting to infiltrate into the area that is under control of the Kurdish fighters, head of al-Alam bureau in Damascus Hossein Morteza said on Tuesday.
Militants from Libya and Tunisia were among the dead, our correspondent says.
According to Morteza, the foreign-backed al-Nusra terrorists are simultaneously fighting with other militant groups such as the so-called Free Syria Army (FSA) in Aleppo, Deir ez-Zor and al-Raqqa.
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.
According to reports, Western powers and their regional allies, especially Qatar, Saudi Arabia, and Turkey, are supporting the militants operating inside Syria.