Israeli Prime Minister Benjamin Netanyahu said Monday that the joint U.S.-Israeli military campaign against Iran had spared his country from what he described as the Islamic republic's threat of "nuclear annihilation".

Hezbollah said on Monday it had repelled an Israeli force that was trying to "advance" in southern Lebanon, despite the U.S.-Iran agreement to end the Middle East war on all fronts including in Lebanon.

The Iran-backed group said the attack came in response to Israel's violation of the ceasefire on Monday.

President Joseph Aoun on Monday welcomed the announced U.S.-Iran deal to end the Middle East war during a call from Tehran's top diplomat and foreign minister Abbas Araghchi, the Lebanese presidency said in a statement.

The Lebanese leader said he hoped the agreement would be a "positive step towards reducing tensions and opening the door to diplomatic solutions," while Araghchi emphasized "the importance of respecting Lebanon's sovereignty and territorial integrity by all parties," the statement said.

When Kamal Kamal heard a ceasefire deal had been agreed between Iran and the United States, he rushed back to the southern city of Nabatieh only to find an Israeli strike had reduced his life's work to rubble.

A deal between Washington and Tehran that ends the Israel-Hezbollah war leaves many issues in Lebanon unresolved, failing to mention Israel withdrawing from the country or an end to Tehran's support for the militant group.

U.S. President Donald Trump said on Monday the Strait of Hormuz would be fully open later in the week, after Washington and Tehran announced a deal to end the Middle East war.

US President Donald Trump said Monday that oil tankers were moving out of the Strait of Hormuz, apparently on a route near to Oman, following a peace deal with Iran.

The U.S.-Iran agreement to conclude the Middle East war is a significant strategic setback for Israel and underscores its waning influence in Washington, Israeli analysts said.

Although the accord, announced by Pakistan early Monday, remains incomplete and is expected to be finalized within 60 days, its preliminary framework has already raised concern in Israel.

Hezbollah thanked its backer Iran on Monday for insisting that Lebanon, where Israel and the militants have been at war, be included in the deal to end the Middle East conflict.

"Hezbollah expresses its profound gratitude" to Iran's leaders, forces and people "for their steadfast support of Lebanon, its people and its resistance, and for their insistence that Lebanon be included in any understanding leading to the cessation of war", the group said in a statement.

Iran's foreign ministry said on Monday that Tehran still holds "deep mistrust" of the United States despite an agreed framework aimed at ending the war.

"Unfortunately, it must be acknowledged that Iran's deep mistrust of the United States stems from long history of wrongdoing by American leaders," said foreign ministry spokesman Esmaeil Baqaei in a weekly press briefing.