At least 13 people were killed and more than 30 injured in the Syrian town of Tal Abyad on Turkey’s border after a car bomb exploded in a market on Saturday, according to Turkish state media and the Syrian Observatory for Human Rights.

Tal Abyad is one of two major border towns that were the initial focus of Turkey’s cross-border assault in recent weeks to capture territory from Kurdish militia in northern Syria.

Turkey’s government blamed the People’s Protection Units — a militia known by its Kurdish initials, the Y.P.G. — and the Turkey-based Kurdistan Workers’ Party, or P.K.K., for the “inhuman attack.” The Observatory said pro-Turkey fighters and civilians were among the dead and injured in the car explosion.

Turkey’s state-owned Anadolu Agency said 13 were killed after a “bomb-laden vehicle” exploded in a marketplace in the center of Tal Abyad.