The Iran-backed group said in a statement that after Israeli troops attempted to advance near the town of Deir Seryan, its fighters "opened fire on the enemy force and engaged in heavy clashes with them".

Deir Seryan is inside the Israeli-declared "yellow line" running up to 10 kilometres (six miles) deep along the length of the border in south Lebanon, where residents have been told not to return.

The Israeli military confirmed there were clashes with Hezbollah fighters in south Lebanon.

"Earlier today, two IDF (army) soldiers were moderately injured as a result of a close-quarters encounter with Hezbollah terrorists in southern Lebanon," the military said in a statement.

"The soldiers were evacuated to receive medical treatment at a hospital."

Hezbollah also claimed a series of other attacks on Israeli military targets in south Lebanon that it said were in response to "the Israeli enemy's violation of the ceasefire".

The state-run National News Agency (NNA) reported Israeli air strikes on more than 20 south Lebanon locations, some of them towns where the Israeli military earlier Monday told residents to evacuate.

Lebanon's army said that "an officer and a soldier were lightly wounded" in an Israeli strike on the town of Kafra "while they were travelling in a military vehicle between army posts".

According to Lebanon's health ministry, Israeli strikes since March 2 when the latest war erupted with Hezbollah have killed nearly 2,700 people and wounded more than 8,200.

Under the ceasefire, Israel reserves the right to act against "planned, imminent or ongoing attacks".