Israeli media said a Palestinian stabbed a woman on a bus and then ran into the street and stabbed another woman before continuing to run down the street and carrying out another attack.
Police Spokeswoman Luba Samri said that after stabbing the first two people, the Palestinian, a 19-year-old from the West Bank city of Hebron, tried to enter a clothing shop but a woman in the store slammed a door on him.
Yitzhak Scharf of Assaf HaRofeh Medical Center said that 80-year-old woman was stabbed in the back and waist and sustained damage to blood vessels and fractured her hip.
A 40-year-old man was stabbed multiple times in the chest. Another person was lightly wounded he said.
The military said the earlier incident in the West Bank was the third attempted stabbing near the checkpoint between the West Bank and Israel in recent weeks.
After soldiers approached two Palestinians at a gas station, one attempted to stab a soldier with a knife before the soldiers shot him, the army said.
The other Palestinian was arrested. The official Palestinian news agency Wafa said he was wounded in the incident.
Video later emerged of a Palestinian smashing a female tour guide over the head with a bottle and then running away outside Jerusalem's Old City. Police said they later apprehended the Palestinian.
A series of Palestinian attacks linked to tensions over a sensitive Jerusalem holy site began in mid-September.
In addition to the near-daily attacks, violent demonstrations have erupted in Israel, the West Bank and Gaza, with Palestinian stone-throwers clashing with Israeli troops. Eleven Israelis have been killed in Palestinian attacks, mostly stabbings.
