A 30-year-old man was killed by rocket shrapnel next to a playground in the northern Israeli town of Nahariya on Thursday, Israel's MDA medical service said.
The Israeli military said about 10 rockets had been launched from Lebanon towards Nahariya. "Most of the projectiles were intercepted and fallen projectiles were identified," the army said in a statement.
Channel 12 said three rockets hit the coastal town.
Air sirens went off in a number of locations across northern Israel during the morning, but it was not immediately clear how many missiles had been launched from Lebanon.
"The Israeli government is not safeguarding my security, my residents or the residents of the north (of Israel). It is not possible to live in such a situation like this," Nahariya Mayor Ronen Marelly told public broadcaster Kan.
"We are being attacked (by Hezbollah) in a massive way with great force," he said.
The Israeli military has inflicted huge devastation in Lebanon since it went on the offensive against Hezbollah in September, mounting airstrikes across wide parts of the country and sending in troops.
The Israeli military said Wednesday three soldiers, including a 70-year-old, were killed in south Lebanon.
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”
The deaths bring to 52 the army's losses in Lebanon since the start of ground operations.
Another soldier was heavily injured during the same incident that killed the two soldiers including Erlich, the military said, adding he had been taken to hospital.