Palestinians protesting against the raid in the territory's main northern city of Nablus hurled stones at soldiers, who responded with rubber bullets, tear gas and live ammunition, the sources said.
The Palestinian Red Crescent said "10 people were wounded by live rounds to the legs or stomach," and "four others were wounded in beatings" by security forces, AFP reported.
Tensions have soared in the West Bank since the settler couple were shot dead in their car Thursday evening.
Rabbi Eitam Henkin and his wife Naama, both in the 30s, were buried in Jerusalem (holy city of Al-quds) on Friday.
Palestinian demonstrators lay on the ground after being shot by Israeli soldiers in a street, east of the West Bank city of Nablus, on Oct. 3, 2015. AFP
Palestinian police said Saturday's violence began when "dozens of Israeli soldiers in military vehicles" entered an eastern neighborhood of Nablus, one of the largest cities in the West Bank.
"They arrested eight people and conducted searches, entering properties by force and causing damage," the police said.
An Israeli military spokeswoman said she was unable to comment on the raid.
Palestinian news agency Wafa said a 35-year-old man was shot in the leg by settlers near Bethlehem, and police said settlers had stoned a number of cars and set fire to olive trees.
And in the Palestinian village of Beitillu, assailants torched a car and spray-painted "Revenge Henkin" in Hebrew on a wall, the army said, adding that nobody was hurt.