Prime Minister Nawaf Salam warned of a renewal of military operations in the south of the country. "All security and military measures must be taken to show that Lebanon decides on matters of war and peace," he said in a statement.
Israeli Defence Minister Israel Katz said the Lebanese government bore responsibility for any rocket salvoes from its territory.
"We will not allow rocket fire from Lebanon on the Galilee communities. We promised security to the communities of the Galilee - and that is exactly how it will be. The rule for Metula is the rule for Beirut," Katz said in a statement.
The ceasefire brought an end to Israel's intense bombardment and ground operations in Lebanon and Hezbollah's daily rocket barrages into Israel. Each side, however, has accused the other of failing to implement the deal in full.