Lebanon's army says its troops have begun deploying to a "pilot zone" in the south of the country following the withdrawal of Israeli forces under a US-brokered agreement reached last month.

A statement from the army command said units had entered the village of Zawtar al-Gharbiyeh in Nabatieh district on Tuesday morning.

On Monday night, Israel's military confirmed the start of the pilot zone plan, which should see Israeli troops pulling out of a small part of the territory occupied during their conflict with Hezbollah as well as the disarmament of the Iran-backed group.

It comes ahead of a meeting in Washington between US President Donald Trump and his Lebanese counterpart, Joseph Aoun.

Aoun is expected to urge Trump to put pressure on Israel to withdraw from the rest of southern Lebanon and to provide support to the Lebanese army to take full control of areas where Hezbollah holds sway.

Lebanon was drawn into the war between Israel, the US and Iran on 2 March, when Hezbollah launched rockets into Israel in retaliation for a strike that killed Iran's supreme leader.

Israel responded by launching a bombing campaign across Lebanon and invading a significant part of the country's south.

More than 4,300 people have been killed in Lebanon, including almost 800 children, women and medics, according to the Lebanese health ministry.

Israeli authorities say 37 Israeli soldiers and four civilians have been killed on both sides of the border during the conflict.