The clash comes even as a 10-day temporary ceasefire between Israel and Lebanon took effect at midnight on Thursday local time, aimed at reducing escalating hostilities along the border.
US President Donald Trump announced earlier that both sides had agreed to the truce, raising hopes of a pause in fighting after weeks of heightened clashes.
Israeli Prime Minister Benjamin Netanyahu said Israel had accepted the ceasefire arrangement but made clear that Israeli forces would continue to maintain their presence in areas they occupy in southern Lebanon.
Despite the truce, the Israeli military has continued to launch strikes, saying its operations are targeting Hezbollah positions and infrastructure.
The continued exchanges have cast doubt over the durability of the ceasefire, with tensions remaining high across the border.