BEIRUT — Hezbollah fired another barrage of rockets into Israel on Tuesday, and the militant group’s acting leader vowed to keep up pressure that has forced tens of thousands of Israelis from their homes near the Lebanese border. The Israeli military said it sent more ground troops into southern Lebanon and that a senior Hezbollah commander was killed in an airstrike.

Dozens of rockets fired by Hezbollah were aimed as far south as Haifa, and the Israeli government warned residents north of the coastal city to limit activities, prompting the closure of more schools.

Sheikh Naim Kassem, Hezbollah’s acting leader, said its military capabilities remain intact after weeks of heavy Israeli airstrikes across large parts of Lebanon, and attacks that killed its top commanders in a matter of days. He said Israeli forces have not been able to advance since launching a ground incursion into Lebanon last week.

Kassem, speaking by video from an undisclosed location, also said Hezbollah will name a new leader to succeed longtime leader Hassan Nasrallah, “but the circumstances are difficult because of the war.”

In a statement addressed to the people of Lebanon, Israeli Prime Minister Benjamin Netanyahu called Hezbollah “weaker than it has been for many, many years.” He added: “We took out thousands of terrorists, including Nasrallah himself, and Nasrallah’s replacement, and the replacement of his replacement,” without naming them.

Nasrallah was killed in an Israeli airstrike on a bunker in Beirut last month. Hashem Safieddine, a cousin of Nasrallah who oversees the group’s political affairs, was generally regarded as the heir apparent. But no announcement has been made on a successor, and Safieddine has not appeared publicly or made any public statements since Nasrallah’s death.

The Israeli military said Tuesday that a strike in Beirut had killed Suhail Husseini, who it described as a senior commander responsible for overseeing logistics, budget and management of the militant group.

There was no immediate comment from Hezbollah, and no way to confirm claims made by either side.

The Israeli military said it deployed a fourth division in southern Lebanon and that operations have expanded to the west, but its focus still appears to be a narrow strip along the border.

A day after marking a year of war in Gaza, Israeli forces fought heavy battles Tuesday with Palestinian militants in the north, where residents were ordered in recent days to evacuate.

Hezbollah’s acting leader said Hezbollah backs efforts by Lebanon’s Parliament Speaker Nabih Berri to reach a cease-fire, but did not specify whether that means the group would be willing to accept a truce before a cease-fire in Gaza.

Berri, a close ally of Hezbollah, has been seen as the main interlocutor between the militant group and the United States, and has been trying to broker a Gaza cease-fire since fighting began a year ago.