Lebanon's Hezbollah fired a fresh barrage of more than a dozen projectiles into northern Israel on Wednesday, the Israeli army said, a day after Israel warned of a "total war" with the Iran-backed militant group.

Hezbollah, a Hamas ally, and Israel have been trading near-daily fire since the Gaza war was triggered by the Palestinian militant group's October 7 attack on southern Israel.

"Approximately 15 projectiles were identified from Lebanon toward the area of Kiryat Shmona, several of which were intercepted by IDF (army) aerial defence array," the military said in a statement.

"IDF artillery struck the sources of fire," it said, adding the incoming fire did not cause any casualties.

The military said its warplanes also struck a Hezbollah military structure in the area of Tyre and infrastructure in Khiam in Lebanon.

Hezbollah said on Wednesday it fired "dozens of Katyusha rockets and artillery rounds" at a barracks in Kiryat Shmona in northern Israel in retaliation for the "Israeli enemy attacks" on Yarun and Khiam.

Wednesday's clash came a day after the Israeli military said it had approved operational plans for an offensive in Lebanon.

"As part of the situational assessment, operational plans for an offensive in Lebanon were approved and validated," the military said in a statement.

The approval came as Israeli Foreign Minister Israel Katz warned Hezbollah on Tuesday that it would be destroyed in the event of a "total war" between the two.

"We are very close to the moment when we will decide to change the rules of the game against Hezbollah and Lebanon," he said in a statement issued by his office.

"In a total war, Hezbollah will be destroyed and Lebanon will be hit hard."

The latest tit-for-tat comes as US presidential envoy Amos Hochstein visited Israel and Lebanon this week, calling for an "urgent" de-escalation on the border.

The Israel-Lebanon clashes have killed at least 473 people in Lebanon, most of them fighters but also including 92 civilians, according to an AFP tally.

Israeli authorities say at least 15 soldiers and 11 civilians have been killed in the country's north.