"A man is badly wounded and a woman lightly injured," a police statement said. "The terrorist was caught by forces in the area."
Police said that patrols were sweeping the area of the attack in the Israeli town of Raanana out of concerns that there might be a second assailant at large.
Israeli rescue services said that the wounded man was in his 40s and the woman about 60 years old.
A wave of violence since the start of October has claimed the lives of 123 on the Palestinian side, and 17 Israelis, an American and an Eritrean.
On Friday, two Palestinian drivers tried to run down Israeli security forces in separate attacks in the occupied West Bank, with one attacker shot dead and the other wounded, Israeli officials said.
Troops later shot dead a man in clashes northeast of Ramallah, while in the Gaza Strip, soldiers shot dead a Palestinian protester and wounded 41 others during clashes along the border with Israel, the Palestinian health ministry said.
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