"The prime minister has awakened from anaesthesia and is in good condition. He has been transferred to the recovery unit and will remain under observation in the coming days," the Hadassah Medical Centre said in a statement.
Netanyahu said Iran had spent tens of billions of dollars to prop up the now-toppled regime of Syrian president Bashar al-Assad, as well as armed groups Hamas and Hezbollah.
As part of the agreement, the Lebanese army and United Nations peacekeepers will deploy in southern Lebanon as the Israeli army withdraws over a period of 60 days.
Israel has occupied the West Bank since 1967. Palestinians claim the territory as part of a future independent state, and have repeatedly warned that Israeli settlements there are an obstacle to peace.