The ceasefire is contingent on a complete cessation of fire from the Iran-aligned Hezbollah militia and the evacuation of all of its operatives from the South Litani Sector, according to a joint statement released with the US on Wednesday.
"The two sides agreed with the guidance of the United States to swiftly advance the creation of pilot zones in which the Lebanese Armed Forces will take exclusive control of the territory to the exclusion of all non-state actors," they said.
Israel and Lebanon had previously agreed to a cessation of hostilities in April that was then extended in May, but violence has continued.
Israeli drone strikes killed at least six people in southern Lebanon and targeted a car south of Beirut on Wednesday, Lebanese security sources said. Israel said it intercepted a hostile aircraft likely fired by Hezbollah.
A US-mediated agreement announced on Monday had led Israel to step back from attacking the Hezbollah-controlled southern suburbs of Beirut, and the Iran-backed group to halt cross-border strikes.
Israel invaded Lebanon in March in pursuit of Hezbollah which fired across the border in support of Tehran.
Iran has said it will not agree to a deal to end the conflict with the US and Israel launched in late February unless a ceasefire also covers Lebanon.
Lebanon and Israel on Wednesday agreed to further direct negotiations to build confidence and resolve other outstanding issues.
The pair will reconvene to hold political and security-related talks during the week of June 22 with a view toward a comprehensive agreement, according to the statement.
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