Hezbollah’s leader has rejected a conditional truce, demanding a full ceasefire and Israeli withdrawal, while warning of further attacks amid rising cross-border tensions.

Hezbollah's chief on Thursday rejected a conditional truce announced by Lebanese and Israeli envoys, demanding a comprehensive ceasefire and full Israeli withdrawal instead as he threatened northern Israel with new attacks.

Naim Qassem's message came after Lebanese and Israeli representatives in the United States agreed to a conditional ceasefire that Lebanon's president called the "last chance" for a durable end to the fighting.

Lebanon was drawn into the wider Middle East war when Hezbollah attacked Israel on March 2 to avenge the February 28 killing of Iran's supreme leader.

Hezbollah has rejected the Israel-Lebanon talks, while a previous ceasefire announced on April 17 has been breached daily, with Israeli troops deployed deep inside Lebanese territory and the Iran-backed militants continuing to attack Israel.