Social media is motivating 'a wave of terrorism' in Israel, according to the government.
Palestinians are sharing numerous images of victims on social media pages which are being shared thousands of times.
The Israeli government blames social media for inciting young Palestinians to commit religiously motivated violence but many observers of the conflict dismiss the claims.
It comes as violent clashes between Israelis and Palestinians continue in Jerusalem.
ITV News Middle East Correspondent Geraint Vincent reports:
The death toll from the attacks carried out in Jerusalem and Tel Aviv has risen to three, Israeli police say.
Israel's Prime Minister Benjamin Netanyahu has called a security cabinet meeting for 3pm local time (midday GMT) to discuss how police will react to the attacks.
Officials said Israel's public security minister was considering whether to seal off Palestinian neighbourhoods in East Jerusalem, home of many of the assailants of the past two weeks, from the rest of the city.
Palestinians in East Jerusalem can travel in Israel without restrictions, unlike those who live in the West Bank.
At least two people were killed after Palestinian men armed with knives and guns launched a string of attacks in various parts of Israel, police said.
In one incident, two Palestinians shot and stabbed passengers on a Jerusalem bus, killing one and injuring five, according to Israeli media. Ambulance services said one of the attackers was killed and another captured.
Just a few minutes later, a Palestinian rammed his car into a bus stop in the centre of the city, before getting out and stabbing pedestrians. Police said at least one was killed and several were wounded, while the attackers fate was unclear.
The Jerusalem attacks followed two in the Ranaana suburb near Tel Aviv.
The first saw an Israeli man stabbed and lightly wounded on a shopping street, with amateur video later showing the alleged attacker being kicked and beaten on the ground.
Within an hour, another person wielding a knife wounded four people in Ranaana, according to police and local media reports.
One people have died and at least four people have been hurt after separate stabbing and shooting attacks in Jerusalem, Associated Press reports, citing Israeli police.
Israel Defence Forces appeared to confirm the two attacks, saying in one incident an attacker had run over and stabbed four civilians at a bus stop.
Initial report: Assailant runs over & stabs 4 civilians at bus stop in Jerusalem. Attacker shot on site
It said that in another shooting and stabbing attack on a bus, several people had been injured.
It added the attackers had been shot in both instances.
Initial report: 2 assailants execute shooting & stabbing attack on bus in Jerusalem. Multiple injured. Attackers shot on site
A Palestinian stabbed several passengers on a bus in Jerusalem, police said.
According to Israeli media, at least eight people were wounded in the attack, while the attacker was shot.
Violent clashes between Israelis and Palestinians continued today, with more blood spilled on the ancient streets of Jerusalem.Read the full story ›
Israeli police have shot dead a man who tried to stab one of them in East Jerusalem.
Police said their officers killed the man after he attacked an Israeli trooper who had tried to search him. The trooper's protective vest save him from injury.
The incident on Monday in a part of Jerusalem's Old City is the latest in a spate of Palestinian street attacks, police said. Tensions have risen because of the increased number of Jews visiting a site nearby holy to both Muslims and Jews.
US Secretary of State John Kerry has spoken separately to Israeli and Palestinian leaders to express "deep concern over the recent wave of violence".
In a statement the Department of State said Kerry "reiterated the importance of strongly condemning violence and combating incitement."
It comes after four Palestinian teenagers were killed and five Israelis wounded on Saturday, as violent outbursts between the two sides escalate.
Israeli security forces shot dead two Palestinians aged 12 and 15 in protests along Gaza's border fence, Palestinian medics said, and Israeli police said they had killed three knife-wielding Palestinian assailants in Jerusalem.
Two separate knife attacks were carried out on Saturday near Damascus Gate, one of the main entries into Jerusalem’s Old City.
Israeli prime minister Benjamin Netanyahu and Palestinian leader Mahmoud Abbas have called for calm, but there has been little sign of the violence abating.
Six Palestinians were shot dead by Israeli soldiers as a fresh spate of clashes broke out in the conflict-ridden region.Read the full story ›
Fresh violence has erupted in the West Bank following the death of a 13-year-old boy, sparking fears of a new Palestinian uprising.Read the full story ›