A Palestinian man was killed while attempting to attack Israeli Border Police in the East Jerusalem neighborhood of Abu Dis on Saturday night, when the bomb he was carrying apparently exploded prematurely.
Initial reports indicated that there were no casualties among the Israeli forces.
Earlier Saturday a Border Police officer shot dead a Palestinian teenager who tried to stab him as he guarded the entrance to a West Bank settlement.
Roqaya Abu-Eid, 13, approached the entrance to Anatot, near Jerusalem, brandishing a knife, and attempted to stab the policeman as he went to speak to her. There were no Israeli injuries in the incident.
Israel Police said later that an initial investigation showed the girl, from the nearby village of Anata, had fought with her parents and stormed out the family home with the knife, declaring that she wanted to die.
At least 29 Israelis and some 150 Palestinians, most of them attackers, have been killed in the latest spate of terrorism and violence in recent months, which has included Palestinian stabbing, car-ramming and shooting attacks in Israel and the West Bank.
The head of the Palestinian domestic intelligence body said this week that the Palestinian Authority has prevented 200 attacks against Israelis in the current wave of violence, which began in October.