The Iran-backed militia's new leader Naim Qassem held a speech on Wednesday to mark that it has been 40 days since his predecessor Hassan Nasrallah was killed in an Israeli attack.
We have tens of thousands of trained resistance fighters, said Qassem.
He adds that the soldiers are ready to fight, and that there is no place in Israel that will be exempt from potential Hezbollah attacks.
In the speech, which was apparently recorded before the US election results were clear, Qassem also claimed that the war in Lebanon was not affected by the outcome of the election.
Multiple attacks
At the same time as the speech was broadcast, a spokesperson from the Israeli military warned residents in three areas in the densely populated suburbs, just south of Beirut, of an imminent attack.
Later, loud explosions were heard in large parts of the capital, according to witnesses for AFP.
Earlier in the day, Israeli attacks were also reported from the Bekaa Valley in eastern Lebanon, as well as from the city of Nabatieh in the southern parts. In Baalbek, an AFP correspondent reports that intense attacks were heard inside and around the city throughout the day.
Lebanese health authorities reported on Wednesday evening that at least 40 people have died and over 50 have been injured in the Israeli attacks in the area.
Rescue efforts in Barja
Meanwhile, rescue efforts have continued in the city of Barja, just south of Beirut, where 30 bodies have been pulled out of the rubble after Israel attacked an apartment building on Tuesday evening.
It is still unclear whether there are any survivors from the attack or if more people are trapped under the rubble.
More than 2,600 people have been killed in Israeli attacks on Lebanon since September 23, according to Lebanon's Health Minister Firass Abiad.
Most of the victims are civilians, says Abiad to AFP.
Robot attacks near airport
Israel claims that Hezbollah has fired 120 rockets towards Israel on Wednesday.
The movement says itself that it has fired robots towards an Israeli military base near the country's international airport Ben Gurion, south of Tel Aviv. However, air traffic was not affected, according to Israel.