At least 10 Israelis were stabbed in the popular Jaffa port area of Tel Aviv, Israeli authorities have said, The Guardian reported.
The Magen David Adom ambulance service said five of them were severely wounded.
Police said Tuesday's attacker, whom they did not identify, had been "neutralised".
Three Palestinian assailants were killed earlier in the day after attacking Israelis.
The latest wave of violence came as US vice president Joe Biden touched down in Israel for meetings with Israeli and Palestinian leaders.
Biden landed about an hour after a Palestinian opened fire at police near Jerusalem's Old City, wounding an officer before fleeing the scene. In the chase that followed, he wounded another officer before he was shot and killed.
A short while before that, a Palestinian stabbed an Israeli in the neck at a store in the central city of Petah Tikvah, before he was shot and killed.
Earlier in the day, a Palestinian woman who tried to stab Israeli security forces was shot and killed by officers, also in Jerusalem's Old City, Israeli police said.
It was the latest in a wave of Palestinian attacks that have killed 28 Israelis, mostly in shootings, stabbings and assaults with cars. At least 174 Palestinians were killed by Israeli fire during that time. Most of them were attackers and the rest were killed in clashes, Israel says.