But Israel's Shin Bet and Palestinian militant group Hamas, which controls the Gaza Strip and has fought three wars with Israel since 2008, said the attackers were members of Palestinian groups.
SITE Intelligence Group, a company that tracks online activity of white supremacist and jihadist organizations, said the Islamic State (ISIS) claimed the attackers as part of their organization.
Hours after the attack, the group announced that "soldiers of the caliphate" had launched the "blessed operation. on a gathering of Jews" and said it would attack again.
It was reported to be the first time the Islamic State group has claimed an attack in Israel. Malka wrestled with the man for several seconds as he stabbed her multiple times before other officers saw what was happening and opened fire, killing him, police said.
However, the Hamas and People's Front for the Liberation of Palestine militant groups quickly retorted that the three attackers who were killed were their members and accused IS of trying to undermine their battle.
In its statement, Daesh said the attack was "revenge for the religion of Allah and the sanctities of the violated Muslims".
President Trump's eldest son took note, tweeting "You mean after they stabbed a female Israeli police officer to death... right?" Both were shot and killed.
The move came after three assailants, armed with knives and a homemade automatic weapon, carried out simultaneous attacks at two locations near Damascus Gate on Friday evening.
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Police Commander Stuart Cundy said Saturday that this number, which was based on reports from the public, may rise. She admitted the support for residents on the ground in the wake of the disaster was " not good enough ".
Following the attacks, the Israeli government took a number of punitive measures against Palestinian residents in the West Bank.
The Tel Aviv regime has tried to change the demographic makeup of Jerusalem al-Quds over the past decades by constructing settlements, destroying historical sites and expelling the local Palestinian population.
The Islamic State group today claimed responsibility for the fatal stabbing of an Israeli policewoman outside Jerusalem's Old City.
All three were shot dead by security forces at the scene.
"This is an obvious form of collective punishment, it is not acceptable - all those who are using these permits to meet with their families and to be with them during Ramadan are doing so during the month, because most of the year they are not able to do so", Touma-Suleiman said.
On the other hand, Palestinian advocates sometimes claim that Western media favors Israel, given that many foreign correspondents live in Israel and that some of their children enlist in the Israel Defense Forces.
A wave of unrest that broke out in October 2015 has claimed the lives of 272 Palestinians, 41 Israelis, two Americans, two Jordanians, an Eritrean, a Sudanese and a Briton, according to an AFP tally.
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