Gallant made the comments while speaking to Israeli troops deployed to the northern border where cross-border fire with Hezbollah continued for nearly a year but escalated this month.

"We will use all the means that may be required -- your forces, other forces, from the air, from the sea, and on land," Gallant said.

"The elimination of Nasrallah is an important step, but it is not the final one".

Israel killed Nasrallah on Friday in an air strike on the Iran-backed group's southern Beirut stronghold.

Israel had intensified air raids against Hezbollah targets in Lebanon from September 23, when Lebanon's health ministry said at least 558 people were killed, in the deadliest day of violence since Lebanon's 1975-90 civil war.

Israeli officials have been hinting at a potential ground invasion into Lebanon, following attacks which decimated Hezbollah's leadership and communications this month.

After Hamas Palestinian militants' unprecedented October 7 attack on Israel that triggered war in Gaza, Hezbollah began firing at Israeli military positions and communities along the border, in what it called "support" for Hamas.

Fighting had been relatively contained until the current escalation.

Tens of thousands of Israeli residents were evacuated from their country's northern border area nearly a year ago.

"Our goal is to ensure the (safe) return of Israel's northern communities to their homes. We are prepared to make every effort necessary to accomplish this mission," said Gallant.

Israel said earlier this month that it was shifting its focus from Gaza to securing the northern border with Lebanon.

Hezbollah's deputy leader Naim Qassem said Monday the movement was ready to face any Israeli ground operation, and warned that the battle could last a long time.