File photo- Smoke billows from the site of an Israeli strike that targeted the outskirts of the southern Lebanese village of Kfar Hamam .AFP
The Lebanese group has exchanged regular cross-border fire with the Israeli army in support of Gaza since Israel started its war on the Palestinian Strip.
Fears of a major escalation skyrocketed after an Israeli strike last month on Beirut's southern suburbs killed Fuad Shukr, one of Hezbollah's top commanders, hours before an israeli attack in Tehran killed Hamas's political leader Ismail Haniyeh.
Iran and Hezbollah have vowed to respond.
Hezbollah said Monday it launched a "simultaneous air attack" with "explosive-laden drones" on two Israeli military positions -- a barracks near the border and a base near the coastal town of Acre, around 15 kilometres (10 miles) from the frontier.
It said it came "in response" to an Israeli "attack and assassination" in south Lebanon's Tyre area.
A fighter from the group was killed in an Israeli strike in the area on Saturday.
The Israeli army had said its aircraft "eliminated" a Hezbollah operative in the Tyre area, describing him as a "commander" in the group's elite Radwan force.
Overnight, Hezbollah said its fighters targeted a group of Israeli soldiers "infiltrating" near the border and confronted them "with rocket weapons and artillery, forcing them to return".
Also Monday morning, Hezbollah claimed a rocket and artillery attack on another Israeli barracks in stated retaliation for "Israeli enemy attacks".
The cross-border violence has killed some 582 people in Lebanon, including at least 128 civilians, according to an AFP tally.
On the Israeli side, including in the occupied Syrian Golan Heights, 22 soldiers and 26 residents have been killed, according to army figures.
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