Israeli forces shelled the southern Lebanese border towns of Blida and Mays al-Jabal at dawn Tuesday, Lebanon’s National News Agency said.

The agency said the Israeli army fired four artillery shells after suspecting the presence of a cross-border infiltration attempt.

Israeli strikes on south Lebanon killed three Hezbollah members Monday, the Lebanese group said, as tensions surged after Palestinian militants tried to infiltrate into Israel from Lebanon.

The escalation on Israel's northern border with Lebanon comes two days after Hamas militants launched a historic multi-pronged attack on Israel's southern flank from the blockaded Gaza Strip sparking a fierce war with Israel.

The Lebanese government has been promised that Hezbollah will not intervene in the Hamas-Israel war, caretaker Foreign Minister Abdallah Bou Habib said.

The minister told Asharq al-Awsat newspaper, in remarks published Monday, that Hezbollah would only intervene if Israel started the war.

Caretaker Prime Minister Najib Mikati stressed Monday that the government's priority is to maintain security in south Lebanon, a day after Hezbollah and Israel exchanged fire.

In an attack it said had been carried out "in solidarity" with Hamas, which launched a surprise assault on Israel the day before, Hezbollah fired Sunday on Israeli positions in the contested Shebaa Farms border area.

Iranian security officials helped plan Hamas’ Saturday surprise attack on Israel and gave the green light for the assault at a meeting in Beirut last Monday, the Wall Street Journal quoted “senior Hamas and Hezbollah members” as saying.

An Israeli drone fired a missile Sunday on the al-Khraibeh area in Rashaya al-Fukhar's outskirts, Lebanon’s National News Agency reported.

Israel’s Patriot air defense system had earlier fired a missile at a drone that crossed from Lebanon, Israeli media outlets said.

Senior Hezbollah official Sayyed Hashem Safieddine on Sunday warned Israeli Prime Minister Benjamin Netanyahu that “this battle is not only Gaza’s battle,” hours after Hezbollah attacked Israeli military posts in the occupied Shebaa Farms.

“The responsibility obliges all the sons of our nation not to be neutral and we are not neutral,” Safieddine said during a pro-Palestine rally in Beirut’s southern suburbs.

An Egyptian official said Sunday that Israel has sought help from Cairo to ensure the safety of dozens of captives and hostages held by Palestinian militants amid the ongoing war between Israel and Hamas.

The official added that Egypt’s intelligence chief had contacted Hamas and the Islamic Jihad group to seek information.

Israeli soldiers battled Hamas fighters in the streets of Israel's south on Sunday as Israel's retaliation strikes leveled buildings in Gaza.

Hamas fighters, backed by a volley of thousands of rockets, broke through barricades around Gaza early Saturday to rampage through nearby communities in Israel. They took captives back into the coastal enclave, including women, children and the elderly, while Israel's retaliation strikes leveled buildings in Gaza and its prime minister said the country was at war. Israeli media, citing rescue service officials, said at least 300 people were killed, including 26 soldiers. The health ministry in Gaza meanwhile said that at least 313 Palestinians have been killed and 1,990 wounded since the start of fighting.

Hezbollah on Sunday said it fired “a large number of artillery shells and guided missiles” at three Israeli military posts in the occupied Shebaa Farms as part of "liberating what's left of occupied Lebanese land and in solidarity with the Palestinian resistance."

Israel responded by firing artillery shells at areas in south Lebanon as one of its drones struck “Hezbollah infrastructure” in the Shebaa Farms area in response to the early morning attack. The "infrastructure" turned out to be the tent that Hezbollah had erected in the summer in the disputed area. The move had sparked months of tensions with Israel and the U.N. has been working to persuade Hezbollah to remove the tent.