Israel's Prime Minister Naftali Bennett said he called on police and security forces to increase their vigilance in Jerusalem to prevent further attacks after Sunday's fatal shooting in the Old City.
The head of government spoke at the start of the weekly cabinet meeting and briefed ministers on the details of the attack.
The police also carried out searches in the Shuafat refugee camp in Jerusalem, where the terrorist behind the attack came from.
Sunday's violence left one dead and four wounded.
The assailant was shot dead just after the attack by the security forces there.
"Considering the fact that this was the second attack in a few days, I asked the security forces to prepare for possible new attacks," the prime minister said.
The premier also sent his condolences to the family of the Israeli who was killed in the attack and wished the wounded a speedy recovery.
Defense Minister Benny Gantz also sent his condolences to the families of the victims. "We will continue to fight terrorism wherever it appears," he added.
Public Security Minister Omer Barlev said the attack appeared to have been planned because the terrorist's wife had left the country days earlier.
The terrorist group Hamas claimed that the assailant, a 42-year-old teacher, was a high-ranking member of the organization in Jerusalem and praised his actions in a statement issued shortly after the shooting.