Police spokeswoman Luba Samri said the woman yelled "God is greatest" in Arabic as she tried to stab them.
The violence came hours after Israeli Prime Minister Benjamin Netanyahu said the Palestinians are not educating their children toward peace.
Speaking at his weekly Cabinet meeting, Netanyahu said U.S. President Donald Trump's upcoming visit to Israel reflects the strong bond between the two nations. He welcomed Trump's push to resume peace talks, but accused Palestinian President Mahmoud Abbas of "praising terrorists and paying them."
Since 2015, Palestinian attackers have killed 42 Israelis, two visiting Americans and a British student, mainly in stabbing assaults. During that same time, Israeli forces have killed some 245 Palestinians. Israel has identified most of them as attackers.
Israel says the violence is fueled by a Palestinian campaign of incitement. Palestinians say it stems from anger over decades of Israeli rule.
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