The Israeli military said on Tuesday that it was operating "according to an unchanged plan" in Iran and Lebanon, regardless of any talks aimed at reaching an agreement to end the hostilities.

Israeli emergency services said a woman was killed in the north of the country on Tuesday following rocket fire from Lebanon, where Israeli forces are fighting Iran-backed Hezbollah.

The Israeli military said a ballistic missile launched from Iran fell in Lebanese territory on Tuesday, as the Middle East war dragged into its fourth week.

"Following an assessment and based on the data available to the IDF (Israeli army), alongside the launches carried out toward the State of Israel earlier today, a ballistic missile fired by the Iranian terror regime fell in Beirut," a military statement said, referring to the missile fragments that landed in various areas of Keserwan and Metn earlier in the day.

Hezbollah on Tuesday called the decision by Lebanon's foreign ministry to expel the newly appointed Iranian ambassador a "sin", and demanded the authorities "immediately reverse" the move.

President Joseph Aoun reiterated Tuesday the government's commitment to Hezbollah disarmament, saying that "Lebanon cannot wage the wars of others on its soil".

"There is no turning back on the government's decisions," Aoun said, adding that "war could have been avoided had Israel responded to calls for withdrawal from occupied territories and committed to the 2024 Agreement."

Israel should "refrain" from sending in forces to take control of a zone in south Lebanon, France's foreign minister told AFP on Tuesday, saying such a move would have "major humanitarian consequences".

"We urge the Israeli authorities to refrain from such ground operations, which would have major humanitarian consequences and would exacerbate the country's already dire situation," Jean-Noel Barrot said.

Explosions rocked several areas north of Beirut that have so far been spared in the ongoing Israeli war, according to residents and local media, with a military official saying the blasts likely came from an intercepted Iranian missile.

Footage broadcast by the local LBCI channel in the coastal town of Sahel Alma showed a building with shattered windows and shrapnel piercing one of its walls, and a crack in a small wall beside it.

Lebanese Forces leader Samir Geagea said Tuesday that Iran must compensate Lebanon for all war losses.

"It was not the Lebanese government that made the decision for war, and we will not accept a single penny being paid from the state treasury and the pocket of the Lebanese citizens to compensate for these losses," Geagea told MTV.

Lebanon's foreign ministry said on Tuesday it had withdrawn its approval of the Iranian ambassador's accreditation, giving him until Sunday to leave the country.

The ministry said in a statement that it had summoned the Iranian charge d'affaires in Lebanon and informed him of "the Lebanese state's decision to withdraw approval of the accreditation of the appointed Iranian ambassador, Mohammad Reza Sheibani, and declare him persona non grata, demanding that he leave Lebanese territory no later than next Sunday".

At an archaeological site in southern Lebanon's Tyre, small signs bearing a blue and white emblem provide a symbolic shield, meant to protect the ancient ruins from bombardment.

One of the oldest cities on the Mediterranean coast, Tyre is located around 20 kilometers from the Israeli border, and has been the target of several strikes since Lebanon was drawn into the Middle East war by Hezbollah's March 2 rocket attack on Israel.