Earlier this month, Lebanon's cabinet approved the objectives of a US framework aimed at disarming Hezbollah and other armed factions, a move that has sparked sharp divisions in the country.
Netanyahu's office said if the Lebanese Army begins implementing the plan, Israel would consider reciprocal steps, including reducing its military presence, in co-ordination with a US-led security mechanism.
The disarmament roadmap was submitted by US envoy Tom Barrack and outlines the most detailed proposal yet for curbing Hezbollah's military power.
The group has rejected repeated calls to disarm, particularly after its war with Israel in late 2024, which left parts of Lebanon in ruins.
A US-brokered ceasefire between Lebanon and Israel in November ended that conflict, called on Lebanon to confiscate all "unauthorised" weapons across the country and said Israel would stop offensive operations against Lebanese targets.
However, Israel has maintained troops at five positions along the southern border and continued to launch air strikes against what it says are Hezbollah fighters and weapons facilities.Â
The Israel-Hezbollah war started a day after the October 7, 2023, Hamas-led attack against Israel from Gaza. It left more than 4000 people dead and caused damage worth $US11 billion.
Meanwhile, Israeli strikes on Nasser Hospital in Gaza on Monday killed at least 15 people, including three journalists, Palestinian health officials said.
Cameraman Hussam al-Masri, one of the journalists killed in the strikes according to the officials, was a contractor for Reuters. Photographer Hatem Khaled, who was also a Reuters contractor, was wounded, the officials said.
The Israeli military had no immediate comment regarding the strikes.
The victims on the fourth floor of Nasser Hospital were killed in a double-tap strike with one missile hitting first, then another moments later as rescue crews arrived, the ministry said.
Khan Younis' Nasser Hospital, the largest in southern Gaza, has withstood raids and bombardment throughout 22 months of war, with officials citing critical shortages of supplies and staff.
Israeli strikes and raids on hospitals are not uncommon. Multiple hospitals have been struck or raided across the Gaza Strip, with Israel claiming its attacks had targeted militants operating inside the medical facilities, without providing evidence.
A June strike on Nasser Hospital killed three people and wounded 10, according to the health ministry. At the time, Israel's military said it had targeted Hamas militants operating from a command and control centre inside the hospital.
The health ministry said Sunday that at least 62,686 Palestinians have been killed in the war. It does not distinguish between fighters and civilians but says around half have been women and children.
The UN and independent experts consider it the most reliable source on war casualties. Israel disputes its figures but has not provided its own.
The airstrike comes amid Israeli media reports military chief Eyal Zamir has stepped up his warnings over the planned Gaza City takeover, calling on Mr Netanyahu to accept a ceasefire proposal to free the remaining hostages, in comments reported by Israeli media.
"There is a deal on the table, it is the improved Witkoff deal, we must accept it," Israeli television Channel 13 quoted Zamir telling commanders during a visit to a naval base in Haifa.
The military chief was referring to a proposal previously negotiated by US special envoy, Steve Witkoff, which provides for a 60-day ceasefire, during which 10 living hostages would be released in exchange for Palestinian prisoners.
"The army has created the conditions for a hostage deal, now it is in the hands of Netanyahu," Zamir continued.
He reiterated his concern that the planned seizure of Gaza City would endanger the lives of the 20 remaining hostages believed to still be alive.
As requested, Zamir has drawn up the operational plans for a takeover of Gaza City, which have been approved by the country's political leadership.
Around 60,000 additional reservists have been called up for September.
However, the military chief has reportedly been critical of the government's decision to capture the city, which is home to some one million people.
Hamas said last week it had agreed to a new ceasefire proposal, which is reportedly an adapted version of the Witkoff proposal.
- with AP and DPA