Following the attack in the area of the Idna Tarqumiyah Junction, security forces surrounded a house in Hebron and killed a Palestinian suspected of carrying out the shooting, the military said.
Hundreds of Israeli troops have been carrying out raids across the West Bank since last Wednesday in one of their largest actions in the area in months, which Israel says is aimed at rooting out Iranian-backed Islamist militants.
The Palestinian Red Crescent reported on Sunday that two Palestinian brothers had been shot by Israeli forces in the town of Kafr Dan, outside Jenin in the northern West Bank, where Israeli forces have been operating since Wednesday.
The deployment of army and police units across the West Bank has underscored the heavy pressure facing Israeli security forces now fighting on multiple fronts, with little sign of a breakthrough in talks to secure a halt to the fighting in Gaza.