Tuesday's fighting hit several villages including Yabseh, Kandal and Jalbeh, which lie in the northern province of Raqa on Syria's border with Turkey and are home to a mixture of ethnic and religious communities, said the Syrian Observatory for Human Rights.
It also reported that the Kurds expelled the jihadists from Kur Hassu, Atwan, Sarej and Khirbet Alu villages in the same area, which lies near the majority Kurdish town of Cobany.
The latest battles come a week after fighters loyal to the Committees for the Protection of the Kurdish People (YPG) expelled the jihadist Al-Nusra Front and the Islamic State of Iraq and the Levant (ISIS) from the strategic Kurdish town of Ras al-Ain in Hasake province.
Ever since, fighting has spread from Hasakeh in northeastern Syria to several hotspots in Raqa province in the north.
At least 70, most of them jihadists, have been killed in eight consecutive days of Kurdish-jihadist fighting, said the Observatory.
Though the fighting is between jihadists and organised Kurdish forces, there is "a growing gulf between Kurdish and Arab residents of these areas," Abdel Rahman said.
"The battle is morphing from a fight between the YPG and the jihadists to a struggle between Kurds and Arabs as a whole."
Prior to the outbreak of the 2011 revolt against President Bashar al-Assad's rule, the Kurds suffered for decades from marginalisation and oppression at the hands of the Syrian regime.
Then, starting mid-2012, Assad's forces withdrew from Kurdish regions which now are run by local Kurdish councils.
