Six Palestinians were killed and many Israelis were wounded—including an Israeli teen stabbed with a vegetable peeler-- as several weeks of violence in Jerusalem and the West Bank continued Friday, injuring hundreds and putting police on both sides of the border on high alert.

Palestinian doctors told Fox News Friday that three Palestinians were killed today in clashes with Israeli military on the border between Gaza and Israel.

Later, Gaza's Health Ministry said three more Palestinians-- including a teenager-- were killed by Israeli troops after throwing rocks at them near the Gaza border. Gaza health official Ashraf al-Kidra says the young Palestinian was 15 years old.

Palestinians rallied following Friday prayers in Gaza in support of Palestinian protests in Jerusalem. Angry Palestinian youths started throwing stones on the other side of the border while Israeli soldiers responded with tear gas and then with live ammunition, according to a Palestinian witness in Gaza. 

Recent days have seen a series of attacks by young Palestinians wielding household items like kitchen knives, screwdrivers and even a vegetable peeler. The youths had no known links to armed groups who have targeted Israeli soldiers and civilians at random, complicating security efforts.

The Israeli military says about 200 Palestinians in Gaza advanced toward soldiers on the border and threw rocks and rolled burning tires at troops stationed there. About a dozen people were injured in the fighting.

The border has been mostly quiet since last year's war between the Islamic militant group Hamas, which rules Gaza, and Israel last year. Several rockets have been fired recently at Israel from the territory.

At least four attacks -- three by Palestinians and one by an Israeli -- threatened to escalate and spread throughout the country as Israeli police struggled to control spiraling violence.

The Red Crescent medical service says over 500 Palestinians were injured in West Bank violent protests since the weekend including about 100 from live fire.

The attacks have shocked Israelis and sparked fears of a new Palestinian Intifada, or uprising. However Israeli officials have downplayed that possibility, saying this is the kind of violent spike Israel has faced periodically in recent decades.

But Gaza-based Hamas leader Ismail Haniyeh applauded the recent Palestinian stabbing attacks across Israel at a speech in Gaza Friday morning and called the surge in violence an "Intifada" or uprising.

A 14-year-old Israeli and a police officer were stabbed in separate assaults while four Arabs were stabbed by an Israeli in the southern city of Dimona. A Palestinian used a vegetable peeler to stab and injure the teen in Jerusalem before the attacker was arrested, police said.

In the northern Israeli city of Afula, a Palestinian woman was shot and wounded when she attempted to stab a security guard at a bus station, police said. The Afula attack came shortly after a Palestinian man attacked a police officer with a knife and tried to grab his gun near the entrance to the Kiryat Arba settlement in the West Bank. The officer was lightly injured and killed his attacker, police said.

Earlier, two members of Israel's Bedouin minority and two Palestinians were wounded in a stabbing attack by an Israeli man in Dimona, police spokeswoman Luba Samri said. The men were evacuated to a hospital for treatment. Israeli media reported the stabber said after his arrest that he carried out the attacks in retaliation for the numerous Palestinian attacks on Israelis this week.

Dimona mayor Beni Bitton said the stabber is a "mentally ill man." He told Channel 10 TV that two of the victims worked for City Hall, and that passers-by quickly rushed to help the wounded Arabs and provided first aid.

Prime Minister Benjamin Netanyahu "strongly condemned the harming of innocent Arabs." He said whoever deploys violence will be brought to justice.

In Jerusalem, Israeli security forces braced themselves for more unrest, barring young Palestinian men from a sacred Jerusalem Old City site in an attempt to restore calm. Samri said men under 45 are barred from the Al-Aqsa mosque compound while women of all ages can enter. The age limit has been set intermittently in an attempt to ensure peace at the site, as it's mostly younger Palestinians involved in the violence.

Samri said police are on high alert.

The unrest began about three weeks ago as Palestinians repeatedly barricaded themselves inside the Al-Aqsa mosque and hurled rocks and firebombs at police. It was fueled by Palestinian allegations that Israel plans to change the delicate arrangement at the hilltop compound, holy to Jews and Muslims. Israel has adamantly denied the allegations and accused Palestinian leaders of incitement.

The attacks were initially confined to east Jerusalem, site of the sacred compound, and the West Bank -- both territories captured by Israel from Jordan in the 1967 war and claimed by the Palestinians for their future state. But this past week the violence has spread to Tel Aviv, Afula and other Israeli cities.

What began as Palestinians throwing rocks and firebombs at passing cars and police morphed into a deadly shooting and a rash of knife attacks where Palestinians stabbed Israeli civilians and soldiers in the streets. Four Palestinians were killed after carrying out attacks against Israelis since Saturday. Three Palestinian protesters were killed in clashes with Israeli forces in the West Bank during that time.

Prime Minister Benjamin Netanyahu has called the attacks a "terror wave."

Israel has significantly beefed up security in response to the violence in Jerusalem, and on Thursday police set up metal detectors at the entrance to Israel's Old City.

The hilltop compound is a frequent flashpoint and its fate is a core issue at the heart of the Israeli-Palestinian conflict. It is known to Jews as the Temple Mount, site of the two biblical Jewish temples. Muslims revere it as the Noble Sanctuary, where they believe the Prophet Muhammad ascended to heaven.

Non-Muslim visitors are only allowed to enter the site at specific hours and are banned by police from praying there. Many Muslims view these visits as a provocation and accuse Jewish extremists of plotting to take over the site. Israel has promised to ensure the delicate arrangement at the site and insists it will not allow the status quo there to be changed.

But Palestinians say that in the last two months, there has been a new development where Israel has intermittently restricted some Muslims from the compound when Jews visit. Israel says this is to reduce friction, but Palestinians claim that Israel intends to establish Muslim-free Jewish visiting hours. The site is so sensitive that even rumors are enough to trigger violence there.

Fox News’ Ibrahim Hazboun in Jerusalem and the Associated Press contributed to this report.