Israeli Prime Minister Benjamin Netanyahu on Tuesday pledged his country's cooperation with African nations against "terrorism" as he met Kenyan President Uhuru Kenyatta.

"Israel is willing and prepared to work with African countries in our common battle against militant Islamic terrorism," Netanyahu said as he went into talks with Kenyatta, whose country has long been a strategic ally of Israel.

Israeli soldiers have been ordered to take their guns with them when off duty to allow them to intervene in the event of Palestinian attack, the military said on Tuesday.

The decision comes after off-duty soldier Tuvia Weissman, 21, was stabbed to death at a supermarket in an Israeli industrial zone in the occupied West Bank on Thursday.

Israel on Monday charged a Jewish man with inciting racism and violence in Facebook posts against Arab Israelis and Palestinians, including by calling for the death of a lawmaker, the justice ministry said.

Eliyahu Eliav Moalem, 27, of central Israeli city Modiin, had over June and July 2014 written a number of posts calling for "acts of violence and terror against Palestinians and Arab Israelis," the ministry said in a statement.

A 16-year-old Palestinian tried to stab an Israeli soldier in the occupied West Bank on Sunday and was shot dead, Israel's army said, the latest incident in a nearly five-month wave of violence.

The attack occurred at the Bitot Junction south of Nablus in the northern West Bank.

An Israeli man was killed and another moderately wounded when two Palestinians stabbed them in a supermarket in the occupied West Bank on Thursday before being shot, officials said.

A 21-year-old victim was taken to Jerusalem's Shaare Zedek hospital in serious condition, where he was pronounced dead after extensive efforts to resuscitate him, a spokeswoman said.

Israeli prosecutors on Thursday charged a 76-year-old Tel Aviv man with killing his wife after she disturbed him when he was watching tennis on television.

A copy of the charge sheet obtained by AFP said that Maurice Biniashvilli bludgeoned to death his wife Malcha after she prevented him seeing decisive moments in the Australian Open championship on January 31.

English town halls and publicly funded universities face "severe penalties" if they institute boycotts of "unethical" companies or Israeli goods under controversial new rules to be outlined by the government this week.

"Locally imposed boycotts can roll back integration as well as hinder Britain's export trade and harm international relationship," the Cabinet Office said in a statement on Monday.

Hundreds of stone-throwing Palestinian youths clashed with Israeli soldiers who raided a refugee camp in the occupied West Bank on Monday, leaving 28 with gunshot injuries.

The Palestinian health ministry said 28 people were shot and wounded, including one in the head, during clashes in Al-Amari camp at the entrance to the West Bank city of Ramallah.

Israel's Ehud Olmert began serving a 19-month jail term for corruption on Monday, becoming the country's first ex-premier to exchange the perks of high office for the privations of life behind bars.

Here are details of his prison conditions:

Israeli forces shot dead a Palestinian woman as she tried to stab a soldier in the flashpoint West Bank city of Hebron on Saturday, the army said in a statement.

"An assailant drew a knife and attempted to stab a soldier," it said. "Responding to the attack, forces fired at the perpetrator, resulting in her death."