Israel's security cabinet has approved measures to make it easier for Israelis to carry guns after two separate attacks by Palestinians in Jerusalem over the past two days.
The attacks took place after an Israeli army raid in the occupied West Bank killed nine people.
The new measures also include depriving an attacker's family members of residency and social security rights.
The full cabinet is due to consider the measures on Sunday.
Prime Minister Benjamin Netanyahu had promised a "strong" and "swift" response ahead of the security cabinet meeting.
Israel's army also said it would be reinforcing troop numbers in the occupied West Bank.
"When civilians have guns, they can defend themselves," the controversial far-right National Security Minister, Itamar Ben-Gvir, told reporters outside a Jerusalem hospital.
The measures will revoke the rights to social security of "the families of terrorists that support terrorism", the security cabinet said.
The proposals are in step with proposals from Mr Netanyahu's far-right political allies, who allowed him to return to power last month.
The announcement came after Israeli police said a 13-year-old Palestinian boy was behind a shooting in Jerusalem's Silwan neighbourhood on Saturday that left an Israeli father and son seriously wounded.
An Israeli police force spokesperson previously said the assailant ambushed five people as they made their way to prayers, leaving two in a "critical condition". The 13-year-old was shot and injured by passers-by and is being held in hospital.
In a separate shooting on Friday at a synagogue in East Jerusalem, seven people were killed and at least three more injured as they gathered for prayers at the start of the Jewish Sabbath. The gunman was shot dead at the scene.
The man behind Friday's synagogue attack was identified by local media as a Palestinian from East Jerusalem.
Police have arrested 42 people in connection with that attack.
Israeli police commissioner Kobi Shabtai called it "one of the worst attacks we have encountered in recent years".
Palestinian militant groups praised the attack, but did not say one of their members was responsible.
Mr Netanyahu called for calm and urged citizens to allow security forces to carry out their tasks, while the military said additional troops would be deployed in the occupied West Bank.
"I call again on all Israelis - don't take the law into your hands," Mr Netanyahu said. He thanked several world leaders - including US President Joe Biden - for their support.
Tensions have been high since nine Palestinians - both militants and civilians - were killed during an Israeli military raid in Jenin in the occupied West Bank on Thursday.
This was followed by rocket fire into Israel from Gaza, which Israel responded to with air strikes.
Since the start of January, 30 Palestinians - both militants and civilians - have been killed in the West Bank.
Palestinian President Mahmoud Abbas suspended its security co-operation arrangements with Israel after Thursday's raid in Jenin.
Friday's synagogue shooting happened on Holocaust Memorial Day, which commemorates the six million Jews and other victims who were killed in the Holocaust by the Nazi regime in Germany.
Ukrainian President Volodymyr Zelensky condemned the attack, saying that one of the victims was a Ukrainian woman.
"Terror must have no place in today's world - neither in Israel nor Ukraine," he said in a tweet.
British Foreign Secretary James Cleverly wrote on Twitter: "To attack worshippers at a synagogue on Holocaust Memorial Day, and during Shabbat, is horrific. We stand with our Israeli friends."
President Joe Biden talked to Mr Netanyahu and offered all "appropriate means of support", the White House said.
Shortly after the incident, Mr Netanyahu visited the site, as did Mr Ben-Gvir.
The controversial national security minister promised to bring safety back to Israel's streets, but there is rising anger that he has not yet done so, the BBC's Yolande Knell in Jerusalem said.
United Nations Secretary-General Antonio Guterres was "deeply worried about the current escalation of violence in Israel and the occupied Palestinian territory", a spokesperson said.
"This is the moment to exercise utmost restraint," UN spokesperson Stephane Dujarric said.
On Saturday, the European Union expressed alarm at heightened tensions and urged Israel to use lethal force only as a last resort.
"The European Union fully recognises Israel's legitimate security concerns - as evidenced by the latest terrorist attacks - but it has to be stressed that lethal force must only be used as a last resort when it is strictly unavoidable in order to protect life," said the EU's chief diplomat, Josep Borrell.
Israel has occupied East Jerusalem since the 1967 Middle East war and considers the entire city its capital, though this is not recognised by the vast majority of the international community.
Palestinians claim East Jerusalem as the future capital of a hoped-for independent state.

We need this in Nigeria

Something is brewing all around the world. It is devastate the whole world.

Don't give those jihadist breathing space

Israel should deal with those terrorists and chase all of them out of Jerusalem.

Netanyahu is such a warmonger, he should try and dialogue with the Palestinians by throwing olive branch instead aggression.

Cool

We need to realize that the Christianity we claimed here in Nigeria is different from the one practice in Israel. Why we rely on forgiveness here, the Israelites rely on do me I do you.

Until Jesus come, there will be no peace in the world!

God1000:
Netanyahu is such a warmonger, he should try and dialogue with the Palestinians by throwing olive branch instead aggression.

People like you are d ones supporting amnesty for terrorists. Israel is not coward like Nigeria.

Urchinpainer:
Until Jesus come, there will be no peace in the world!

But wen will Jesus come? E don too tail

Derick1122:
We need to realize that the Christianity we claimed here in Nigeria is different from the one practice in Israel. Why we rely on forgiveness here, the Israelites rely on do me I do you.

They are not Christian in Israel,in fact they have more Muslim than Christians,Nigeriad are just fooling themselves thinking they are supporting Christians

Derick1122:
We need to realize that the Christianity we claimed here in Nigeria is different from the one practice in Israel. Why we rely on forgiveness here, the Israelites rely on do me I do you.

slowpoke Jews are not Christian.

God1000:
Netanyahu is such a warmonger, he should try and dialogue with the Palestinians by throwing olive branch instead aggression.

The Palestinian leaders are supposed to throw the olive branch coz it will affect them more, As they can't control their ppl and the terrorist among them

Not a smart move, could end up in far worse chaos than the US is currently.