
IMAGE SOURCE, EPA Image caption, The attack is the latest in a wave of killings which have shaken Israel
It happened in the predominantly ultra-Orthodox Jewish town of Elad on Thursday night. Seven others were wounded, two seriously.
It is the latest in a wave of deadly attacks in Israel by Palestinians or Israeli Arabs since late March.
Israel has carried out raids in the occupied West Bank in response.
Israeli police said the Palestinians who carried out the attack in Elad came from the district of Jenin in the northern West Bank.
Crossings into Israel from the West Bank have been closed since Tuesday as a security measure while Israel marked its annual memorial and independence days this week.
“We were in the synagogue when the warden shouted: ‘Terrorist! Terrorist!’,” an eyewitness named Mordechai Chachmon said, the Times of Israel reported.
“We went outside and we saw [an attacker] running along a path… and hitting anyone in front of him with an axe to the head. Both of [the attackers] were shouting Allahu Akbar [God is greatest].”

Grief and anger
by Tim Franks, BBC News
The centre of Elad has come to a halt. Thousands of people crammed onto the streets, most of them in the black suits and wide-brimmed hats of the ultra-Orthodox. Next to the ambulances containing the bodies of the dead men at the head of the funeral cortège, a rabbi tells the crowd that the three have joined the long history of Jewish martyrs, killed for no other reason than their religion.
There is grief, bemusement and anger here. A friend of one victim said: “We thought we were safe; this town has nothing to do with the conflict. Now we know different.”
Another man put it more strongly. “Why should I feel afraid in my own country?” he asked me. “We need to fight back.”

The attackers are reported to have fled the scene in a vehicle. Police have set up roadblocks and deployed a helicopter in the search for the suspects.
Israeli Prime Minister Naftali Bennett said they would be caught and would “pay the price”.
Palestinian President Mahmoud Abbas “condemned the killing of Israeli civilians” in Elad, but warned against “using” the incident to attack Palestinians, the official Palestinian news agency Wafa reported.
The killings came days after Hamas leader Yahya Sinwar called for continued attacks on Israelis including with “cleaver… axe or knife” in a message which was widely circulated on social media.
Israel had already bolstered its forces on the boundary with the West Bank and stepped up operations against militants there, including in and around Jenin, where two Palestinians who carried out recent deadly attacks in Israel had come from.
Seventeen Israelis, including an Israeli Arab policeman, and two Ukrainians have been killed in the attacks in Israel and the West Bank since 21 March. At least 26 Palestinians, including the attackers, have been killed in Israeli raids and confrontations since then.
It has coincided with rising tensions over the flashpoint holy site in Jerusalem known to Muslims as the al-Aqsa mosque compound and Jews as the Temple Mount. The site has seen recurrent violence over the past month, with hundreds of Palestinians injured there in the clashes with police.
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