Israel identified a lot of them as attackers.
"I have instructed the police to reinforce security arrangements and checking procedures in the plaza around Damascus Gate", Netanyahu said at a weekly cabinet meeting, explaining that he was consdiering making the zone a "sterile area".
The Times of Israel said, though, that "Israeli officials cast doubt on both claims, saying there was no indication of ISIS involvement, and that the attack did not appear to have been directed by any group".
Palestinian attacks on Israeli civilians and security personnel have increased since 2015, although the pace of the once daily attacks had slowed lately.
Palestinians say it stems from anger over decades of Israeli rule in territory they claim for their state.
A family member of one of the three flatly rejected any connection to Daesh, angrily telling AFP the terrorist group's claim was a "lie" that didn't deserve mention.
The officer, 23-year-old staff sergeant major Hadas Malka, was taken to hospital in critical condition and later died of her wounds.
Israeli security forces patrol outside Damascus Gate in Jerusalem's Old City on June 16, 2017 following an attack.
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Additionally, several roadblocks leading to the east Jerusalem entrance to the Old City have been set up to help police monitor all suspicious activity.
More than 240 Palestinians - majority attackers, Israel says - have also been killed in that period.
"They planned the attacks together and illegally entered Israel and made their way into Jerusalem to carry them out", he said.
In terms of ISIS claims of responsibility for Friday's bloodshed, Rosenfeld said the three suspects coordinated between themselves. Israel identified majority as attackers.
Earlier, the Islamic State claimed responsibility for the attack.
Furthermore, Israeli forces raided, searched and damaged the contents of dozens of houses belonging to relatives of the attackers and confiscated permits they had to Israel.
The soldiers also assaulted many Palestinains, and clashed with local youths, wounding many with live fire and rubber-coated steel bullets.
A second Israeli officer was also injured in the attacks.
Israel is a prominent subject in ISIS's propaganda output, with the group regularly stating that it seeks to take over Jerusalem, where the third-holiest site in Islam-the Haram al-Sharif, or Noble Sanctuary-and the most holy in Judaism-known to Jews as the Temple Mount-is located. She was imbued with a sense of mission of defending the State of Israel.