They were the latest in a wave of Palestinian knife, gun and car-ramming assaults that erupted in October and came as US Ambassador to the United Nations Samantha Power visited Israel and the Palestinian territories for talks with leaders from both sides.
In the first incident, two 15-year-olds attacked an Israeli patrol west of the city of Jenin with rocks before firing on soldiers with a rifle, an army statement said yesterday.
"The force responded to the shooting and fired towards the attackers, resulting in their deaths," it said.
Later in the day, a Palestinian tried to stab Israeli border police between Jerusalem and Bethlehem in the West Bank before being shot dead, Israeli authorities said.
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The Palestinian health ministry identified the assailant as Naim Safi, 17, who was from a village near Bethlehem.
Also yesterday, a young Palestinian woman tried to stab an Israeli policeman but was shot in the attempt in the flashpoint West Bank city of Hebron, Israeli police said.
She was taken to hospital in critical condition.
The incident took place close to the shared religious site known to Jews as the Cave of the Patriarchs and to Muslims as the Ibrahimi Mosque.
Tensions are high at the site - a 17-year-old Palestinian was shot dead in a stabbing attempt there on Saturday.
Late yesterday violence also flared in central Jerusalem when two armed Palestinians attacked Israeli police just outside the Old City walls before being shot dead by officers, police told AFP.