The Israeli army on Tuesday said its forces killed a gunman who had managed to infiltrate Israeli territory from Lebanon and opened fire on its troops.

The Israeli army's withdrawal from south Lebanon would enable the Lebanese state to "extend its authority, end armed appearances and eliminate any justification for the persistence of weapons other than those of legitimate authorities and their armed forces," President Joseph Aoun said on Tuesday.

Christian religious leaders from the southern port city of Tyre called on the international community and Lebanese officials on Tuesday to act quickly to prevent Israel from attacking the Christian district of the city, as airstrikes on nearby neighborhoods killed eight people and wounded dozens of others.

The Israeli military has issued an evacuation warning for the port city, including the Christian quarter, which has been spared so far.

Israel's security cabinet has decided that any Hezbollah rocket on Israel will be met with an attack on Beirut's southern suburbs without the need for prior political approval, Israel's Channel 14 reported on Tuesday.

An Israeli airstrike on the southern city of Tyre before an Israeli military warning on Tuesday killed at least eight people and wounded 32 others.

The state-run National News Agency (NNA) had reported the strike not long before Israel's military issued an evacuation warning for the entire city and surrounding areas ahead of strikes there.

Israel's extremist National Security Minister Itamar Ben-Gvir has called for escalating measures against Lebanon, proposing the occupation of territory and "the arrest of women and young men," during a meeting of the security cabinet on Monday evening.

On Tuesday, President Joseph Aoun shared a segment of his recent CNN interview on social media, issuing a sharp warning to Iran against interfering in Lebanon's internal affairs.

Aoun said in the clip that Lebanon seeks good relations with Iran "based on mutual respect not interference."

Hezbollah on Tuesday urged Lebanese authorities to mend their relationship with the group's backer Iran and benefit from Tehran's support, days after Iran struck Israel in response to bombardment on south Beirut.

Last week Lebanon's president and prime minister issued pointed calls for Tehran to stop interfering in their country's affairs, after Hezbollah rejected a conditional ceasefire with Israel.

Parliament Speaker Nabih Berri only supports a complete and comprehensive ceasefire by land, sea, and air without any conditions, he told the WHYZ media platform.

After a ceasefire is reached, Hezbollah and Israel can withdraw in parallel from the area south of the Litani river, he said.

The Middle East is bracing for war again. Iran fired missiles at Israel late Sunday in the first such bombardment in the two months since a ceasefire. Israel launched airstrikes early Monday targeting central and western Iran in response.

The truce in the Iran war that was reached in April has not spread to Lebanon, where Israel has been battling Iranian-backed Hezbollah militants. Israel says it is defending its northern communities that face Hezbollah drone and rocket fire.