This is the latest incident in a recent wave of violence between Israelis and Palestinians.
Police say the officer was saved by his protective vest. The attacker’s identity is not yet known.
There has been a string of stabbings of Israelis by Palestinians, and an apparent revenge stabbing by an Israeli, in the past two weeks.
Two Israelis and dozens of Palestinians, including attackers, have been killed in the upsurge of violence.
According to Israeli police, the attacker stabbed the officer after being stopped when he was seen acting suspiciously.
It happened near the Lion’s Gate entrance of Jerusalem’s walled Old City, scene of several other previous stabbings of Israelis.
Tensions between Israelis and Palestinians have soared recently, fuelled by clashes at a flashpoint holy site in Jerusalem, in the West Bank, and across the Gaza border, and the wave of Palestinian stab attacks.
There were more stabbings at the weekend. Several Palestinians were also killed in clashes with Israeli troops and by an Israeli air strike on a militant site in Gaza in response to rocket fire on Israel.
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