An Israeli man was wounded in the cross-fire. The man hurt in the stabbing was a US citizen, according to Israeli media.
In the West Bank, two Palestinians carrying knives ran toward an Israeli checkpoint, drawing fire from troops who killed one and critically wounded the other, according to police and a Palestinian medic.
Today's incidents were the latest series of Palestinian attacks that began in mid-September and were accompanied by widespread unrest, including clashes between Palestinian stone-throwers and Israeli troops.
Israel has blamed the attacks on what it says is anti-Israel incitement by Palestinian political and religious leaders. Palestinians say the violence is largely driven by the hopelessness many Palestinians feel after nearly half a century of Israeli military rule, with no end in sight.
Also today, Israeli forces imposed new restrictions on Palestinians in the Israeli-controlled center of Hebron, the largest Palestinian city in the West Bank, residents said.
He said age restrictions were enforced only partially.
In recent days, Hebron has become a flashpoint of Israeli-Palestinian violence, with near-daily deadly confrontations at Israeli checkpoints that guard enclaves of ultra-nationalist Jewish settlers in the center of the city.
In these incidents, Palestinians have been shot dead after the military said they stabbed or tried to stab soldiers.
Hebron has been divided since the late 1990s, as part of what was meant to be an interim agreement ahead of a final peace deal that never materialized.
The most restricted area, near settler enclaves, is home to about 10,000 Palestinians, said Palestinian community organizer Issa Amro.
He said Palestinians were informed by troops at checkpoints today that Palestinian non-residents would not be able to enter these areas, Amro said.
The Israeli military did not provide details.
