Palestinians carry an injured protester during clashes with the Israeli army in Nablus on Tuesday. AP
The Israeli military said a senior commander was among the dead.
The latest violence comes two days after deadly fighting between Israel and Islamic Jihad in the coastal enclave of Gaza was halted by a truce.
In the old city of Nablus, an AFP correspondent reported Palestinians trading gunfire with Israeli security forces.
At least 40 Palestinians were wounded, four of them in serious condition, according to the Palestinian health ministry.
Palestinian demonstrators clash with the Israeli army while forces carry out an operation in Nablus on Tuesday. AP
"The terrorist Ibrahim Al Nabulsi was killed in the city of Nablus," the Israeli army said in a statement, adding that "another terrorist who was staying in the house" also died.
Israeli forces said they launched a shoulder-fired missile at the house and detained four suspects in the raid.
Nabulsi was a commander of the Al Aqsa Martyrs' Brigade, one of the main groups present in the West Bank operating under the ruling Fatah party.
Hundreds of people gathered outside the Nablus hospital where Nabulsi was brought by a dozen gunmen, an AFP correspondent said.
Heavy gunfire was heard as dozens of Israeli military vehicles brought traffic in one of the West Bank's largest cities to a standstill.
Clashes with the Israeli army also broke out in other parts of the city, as Palestinians hurled stones at the troops.
"A violent clash developed with dozens of rioters who threw stones and threw explosives at the forces, who responded by means of crowd dispersal and shooting. Several injuries were confirmed," the army said.
Palestinian protesters hurl rocks at Israeli security forces vehicles during their raid in the old town of Nablus. AFP
"All the forces have left the city, there are no casualties to our forces," it added.
Israeli security forces have conducted near-daily operations in the West Bank in recent months, focusing on the Islamic Jihad group.
Deadly Gaza fighting
On Friday, Israel launched what it called a "pre-emptive" aerial and artillery bombardment of Islamic Jihad positions in the Gaza Strip, leading group in the coastal enclave to fire more than a thousand rockets in retaliation, according to the army.
An Egypt-brokered ceasefire reached on Sunday ended three days of intense fighting that killed 46 Palestinians, 16 of them children, and wounded 360, according to Gaza's health ministry.
Israeli Prime Minister Yair Lapid spoke by telephone with Egyptian President Abdel Fattah Al Sisi on Monday, with the premier "expressing his appreciation" for Cairo's mediation.
A Palestinian demonstrator clashes with the Israeli army in the West Bank town of Nablus, on Tuesday. AP
Israel insists that some of the children and other civilians counted in the Palestinian toll were killed by Islamic Jihad rockets that fell short or misfired.
Lapid said on Monday that the bombardment had "landed a devastating blow to the enemy", and that the "entire senior military command of Islamic Jihad in Gaza was successfully targeted."
Islamic Jihad said 12 of its members had been killed, including commanders Taysir al-Jabari and Khaled Mansour.
Mohammad Al Hindi, a senior member of the group, said the ceasefire deal "contains Egypt's commitment to work towards the release of two prisoners".
They were named as Bassem al-Saadi, a senior figure in the group's political wing who was arrested in the West Bank early last week, and Khalil Awawdeh, a group also in Israeli custody.
Every Israeli government since 1967 has expanded the settlements and these settlements are like a cancer for Palestine. I think this is the basic reason the settlers now feel this government is not their government (“Palestinians
Jarrar, 58, was sentenced to two years in March 2021 for belonging to the Popular Front for the Liberation of Palestine (PFLP), which Israel and the United States label a "terrorist" organisation.
There were no immediate reports of casualties in the airstrikes that targeted what the military said was a weapons production facility and a rocket launch site belonging to Hamas, that rules Gaza.
Village residents said there were no disturbances or clashes in the area at the time of the shooting, which occurred near the village of Beit Ur Al-Tahta, west of the city of Ramallah. The man was returning from work in Israel when he was shot, they said.
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Vishal Ranjan, registrar with the institute confirmed the four deaths and that the rescue operation "has been stopped for now because of heavy rainfall and snowfall in the region".
Saeed Mohammed Al Tayer, MD&CEO of DEWA, has emphasised the vital role that the media plays in enhancing sustainable development in its social, economic, and environmental aspects, as well as raising awareness of the shift towards a green economy.
The request in Geneva came a day after Julien Harneis, the UN coordinator for Pakistan, said diseases such as malaria, dengue fever, scabies and malnutrition are fueling a "second wave of death and destruction," with children and women in its path.