Insurgents also shelled five government-held neighborhoods in the northern city of Aleppo today, killing 20 people and wounding 100, Syrian state media said.
The Islamic State group claimed responsibility for today's deadly suicide blast in the mostly Kurdish city of Hassakeh, saying it targeted an office of the main Kurdish militia in Syria.
Yesterday's car bombs in Hassakeh were also swiftly claimed by the IS group, which controls large parts of Syria and neighboring Iraq.
The Britain-based Syrian Observatory for Human Rights, which relies on local activists, said the blast killed seven people, including five Kurdish fighters. It said the blast targeted a position of the main Kurdish militia, known as the People's Protection Units, and also wounded 30 people, including some fighters.
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Syrian Kurdish fighters are largely in control of Hassakeh, which also has pockets held by government forces. IS militants have been battling the Kurdish forces and government troops in the city and surrounding province for months.
Aleppo has been divided since 2012, with government forces controlling much of western Aleppo and rebel groups in control of the east.
The conflict in Syria has killed more than 250,000 people since it began in March 2011, according to UN figures.