Al-Manar claimed that after the devices were discovered, at least one was remotely destroyed by the IDF.
Lebanese army and UNIFIL troops arrived at the scene amid public panic and began working to destroy one of the devices, the TV station reported.
The Voice of Lebanon radio station reported that the explosion following a breach in Hizbullah's secure telecommunications network, which reportedly led to the discovery of two 50-meter cables near an Israeli outpost across the border.
According to the Voice of Lebanon, one of the cables had been used for wiretapping, while the other had been used for broadcasting.
News agency DPA in Beirut quoted a Lebanese source who suggested that the devices the Lebanese army had detonated were "batteries" belonging to the "espionage device" that had exploded earlier.
IDF troops were said to have conducted patrols close to the border later in the day.
Hizbullah has for years been claiming to find various forms of "listening" or "spying" devices on Lebanese soil.
The IDF Spokesman Office said it was "looking into" Sunday's claims.