Israeli officials refuted claims by the Iranian-backed movement that it had killed and wounded those inside the military vehicle, saying there were no casualties.

"We are consulting about the next steps," Israeli Prime Minister Benjamin Netanyahu said.

"I have ordered that we be prepared for any scenario."

The UN called for restraint and France said it had made "multiple contacts" to avert an escalation.

The United States voiced concern over the "destabilising role" of Iranian proxies in the region and said it "supports Israel's right to self defence", a State Department official said.

"Hezbollah should refrain from hostile actions which threaten Lebanon's security, stability and sovereignty," the official added.

Earlier Lebanon's Prime Minister Saad Hariri contacted senior US and French officials to urge their countries and the international community to intervene.

Hours after the flare-up, Israeli military spokesman Jonathan Conricus said the "tactical event" near Avivim, an Israeli community near the Lebanese border, was most likely over but that the "strategic situation is still ongoing".

Israel had targeted the unit that fired the missiles, he said.

Hezbollah said its fighters had "destroyed a military vehicle on the road to the Avivim barracks, killing and wounding those inside".

Its Al-Manar TV said the group targeted a Wolf armoured vehicle that can fit eight soldiers.

- Drone attack, Syria strike -

After the initial reports of fire from Lebanon, an Israeli military spokesman said Israelis living within four kilometres (2.5 miles) of the border should remain at home and prepare shelters.

Tensions have risen in the last week between Israel and its enemy Hezbollah, the Lebanese Shiite movement backed by Iran.

Hezbollah chief Hassan Nasrallah said Saturday his movement had decided to respond to an alleged Israeli drone attack on the group's Beirut stronghold.

The pre-dawn August 25 attack involved two drones -- one exploded and caused damage to a Hezbollah-run media centre and another crashed without detonating due to technical failure.

Israel has not claimed responsibility for the incident, which came after it had launched strikes in neighbouring Syria to prevent what it said was an impending Iranian drone attack on the Jewish state.

Hezbollah says two of its members were killed in that strike.

On Thursday, Israel accused Iran of collaborating with Hezbollah to build precision-guided missiles.

A source connected to Hezbollah called Sunday's missiles a response to those deaths and said a reaction to the alleged drone attack would take place in the air.

- 'Hostile action' -

Israel has carried out hundreds of strikes against what it says are Iranian and Hezbollah sites in neighbouring Syria since the civil war began there in 2011.

It has pledged to prevent its arch-foe Iran from entrenching itself militarily in Syria.

Iran and Hezbollah, along with Russia, have backed Syrian President Bashar al-Assad in the conflict.

Nasrallah said the alleged drone strike was the first such "hostile action" since his group fought a bloody war with Israel in 2006.

That conflict took the lives of 1,200 Lebanese, mostly civilians, and more than 160 Israelis, mostly soldiers.

The head of the UN peacekeeping force in Lebanon urged restraint after what UNIFIL called a "serious incident" that violated the UN resolution ending the 2006 conflict.

But Major-General Stefano Del Col added that "general calm has been restored in the area and the parties have reassured me of their continued commitment to the cessation of hostilities".

- 'Calm down' -

Sunday's escalation comes amid rising tensions pitting Iran against the US and its allies over a series of incidents involving shipping in sensitive Gulf waters.

Bahrain, which hosts the US Fifth Fleet, on Sunday urged Bahraini citizens to leave Lebanon immediately.

The United Arab Emirate's minister of state for foreign affairs, Anwar Gargash, tweeted that "our hearts are with Lebanon and the Lebanese".

"The decision to make war, peace or stability should be the decision of the state," he tweeted, taking a jab at Hezbollah.

The flare-up also comes ahead of Israel's September 17 election.

Netanyahu is seen as wanting to avoid a major conflict before the vote, but he has warned Hezbollah to "be careful" and has urged Nasrallah to "calm down".

The Hezbollah leader "knows very well that the state of Israel knows how to defend itself well, and to repay its enemies," Netanyahu said.

Hezbollah's number two Naim Qassem in an interview with Russia Today last week played down talk of a "war atmosphere", saying Hezbollah was responding to "an aggression". (AFP)