A Palestinian protester hurls stones at Israeli soldiers during clashes at the Israeli border. (AP)

Israeli security forces shot dead two Palestinians in East Jerusalem on Saturday, one of whom had stabbed two Israelis, police said, in a further wave of violence that has raised concerns about a new Palestinian uprising.

Police said two ultra-Orthodox Jewish men were wounded in the knife attack by a 16-year-old Palestinian near Jerusalem's walled Old City.

Earlier, paramilitary police shot dead a militant who had opened fire at them during late-night clashes at the Palestinian Shuafat refugee camp, police said.

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"The hero martyr fought the Israeli occupation with language they understand," Hamas said.

Tensions have surged in 11 days of violence in which four Israelis and 17 Palestinians - including several Palestinians shot by police, have been killed in Jerusalem, the Israeli-occupied West Bank, Gaza and in Israeli cities.

Scores of Palestinians have been injured in clashes with Israeli troops and at least 12 Israelis have been wounded in almost daily Palestinian stabbing attacks.

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Israeli Prime Minister Benjamin Netanyahu has said repeatedly he will not allow any change to the arrangements under which Jews are allowed to visit the site but non-Muslim prayer is banned.

His assurances over conditions at the site, known as Temple Mount to Jews and Noble Sanctuary to Muslims, have done little to quell alarm among Muslims across the region.

On Friday Israeli soldiers shot dead seven Palestinians in protests near the Gaza border and a knife-wielding Israeli wounded four Arabs in the southern Israeli town of Dimona.

In the northern town of Afula, an Israeli-Arab woman was shot several times and wounded by police who closed in on her as she held up a knife.

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In Jerusalem's Old City, a Palestinian stabbed and wounded a 14-year-old Jewish boy, and near a Jewish settlement in the West Bank city of Hebron, a Palestinian stabbed an Israeli policeman before being shot dead.

There was also violence in the West Bank city of Ramallah, with video footage showing an Israeli army jeep running over a stone-throwing Palestinian, who was injured.

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