In this Wednesday, Sept. 5, 2018, photo, a bulldozer works near a wall at the Israel Lebanon border near Rosh Haniqra AP
The Shia movement's Al-Manar television said members of the group had "downed a drone belonging to the Israeli army... in southern Lebanon".
Israeli army spokesman Avichay Adraee confirmed in an Arabic-language tweet that one of its drones had fallen "inside Lebanese territory during a routine operation".
Lebanon and Israel are technically in a state of war.
On August 12, the Israeli army said it had shot down the previous night a drone from Hezbollah that had crossed into Israeli airspace.
The announcement came nearly a week after Hezbollah fired a volley of rockets at Israeli positions, prompting retaliatory shelling.
It also followed a flare-up along the Lebanon-Israel border in early August that saw Israel carry out its first air strikes on Lebanese territory in seven years, and Hezbollah claim direct rocket attack on Israeli territory for the first time since 2019.
In the summer of 2006, Israel and Hezbollah fought a 33-day war that killed 1,200 people in Lebanon, mostly civilians, and 160 Israelis, mostly soldiers.
It ended with a UN-backed ceasefire on August 14, 2006 that saw the Lebanese army deploy along border areas