Lebanon's Iran-backed Hezbollah movement and its arch-foe Israel have been exchanging near-daily fire across the border since the Israel-Hamas war broke out on October 7.

Lebanon's state-run National News Agency said that Khadija Salman was killed and her daughter seriously wounded in the "enemy" strike on the southern village of Majdal Zun.

Requesting anonymity, a hospital source confirmed the woman had died and her daughter remained in serious condition, adding that a young girl was also killed.

The cross-border exchanges since October have killed at least 271 people on the Lebanese side, most of them Hezbollah fighters but also including 42 civilians, according to an AFP tally.

On the Israeli side, 10 soldiers and six civilians have been killed, according to the Israeli army.

Hezbollah said Wednesday it had carried out several attacks on Israeli troops and positions.

Last week, Hezbollah chief Hassan Nasrallah vowed that Israel would pay "with blood" for civilians it killed, after 10 civilians, including seven members of one family, were killed in Lebanon's largest single-day death toll so far. Five Hezbollah fighters were also killed.