Israel’s failure to tamp down Hezbollah’s short-range rocket threat has put pressure on its government to embrace a cease-fire, the New York Times has reported.

Stuck in no man's land on the war-hit Lebanon-Syria border, cab driver Fadi Slika now scrapes a living ferrying passengers between two deep craters left by Israeli air strikes.

Hezbollah claimed a series of attacks on Israeli troops in south Lebanon and on military facilities across the border including a drone attack on the Haifa naval base, which it has repeatedly claimed strikes against.

The group also said its fighters "targeted... for the first time, the Hatzor air base" near the southern city of Ashdod, around 150 kilometers from Lebanon's southern border with Israel, "with a missile salvo".

In parallel with the meetings that U.S. mediator Amos Hochstein held in Tel Aviv on Thursday, the Israeli army command informed the political leadership that it supports a ceasefire in Lebanon.

After two meetings with Speaker Nabih Berri and a night of intensive discussions at the U.S. embassy between Speaker Nabih Berri’s aide Ali Hamdan and members of the U.S. delegation, U.S. mediator Amos Hochstein announced that the reached agreements should be acceptable to Israel, Al-Akhbar newspaper reported on Thursday.

Israeli first responders said a man was killed on Thursday after rocket fire from Lebanon hit the northern Galilee region.

"Emergency medical technicians and paramedics have reported a 30-year-old male with no signs of life and have declared him deceased," the Magen David Adom emergency medical service said.

Parliament Speaker Nabih Berri said the atmosphere was “more positive” after his second meeting with U.S. mediator Amos Hochstein on Wednesday and that Lebanon “did what it should do” to secure the success of the agreement.

Successive rounds of Israeli strikes hit southern Beirut Thursday after Israeli military evacuation warnings, while Hezbollah claimed a series of attacks including on a base near south Israel's Ashdod, its deepest so far.

Lebanon's official National News Agency reported three raids "within the third round of strikes on the southern suburbs today", saying they hit the Haret Hreik and Hadath areas.

The Israeli military said Wednesday three soldiers, including a 70-year-old, were killed in south Lebanon, where its troops have battled Hezbollah since late September after a year of cross-border exchanges of fire.

The army announced two soldiers were killed in the same incident including 70-year-old reservist Ze'ev 'Jabo' Hanoch Erlich, after it had said earlier Wednesday that a 22-year-old soldier from Jerusalem "fell during combat in southern Lebanon".

Israeli strikes killed 79 pro-Iran fighters, including from Iraq and Lebanon, in the Syrian city of Palmyra, a monitor said Thursday, updating the toll for the raids a day earlier.

The toll was "the highest due to Israeli raids on pro-Iran groups in Syria since the start of the conflict" in the country in 2011, said Rami Abdel Rahman, head of the Syrian Observatory for Human Rights.