Hezbollah's television station, Manar, said the Syrian army and the resistance, a reference to Hezbollah, had made "important progress" in their latest assault against Syrian militants opposed to Syrian President Bashar Assad's rule.
Hezbollah's leader, Hassan Nasrallah, vowed on Tuesday that his forces and their Syrian allies would clear the rebels out of the region, which insurgents use as a supply route for arms and fighters.
The television station said Iranian-backed Hezbollah and the Syrian army had gained more ground in Assal al-Ward, a strategic area on the Syrian side of the Qalamoun mountain region overlooking Lebanese border towns where Hezbollah has heavy presence.
Three major training camps run by Nusra were destroyed and scores of mines and explosive devices were dismantled, it said.
Fighters from Hezbollah have fought alongside Syrian army forces in Syria's civil war. Some Lebanese officials have warned Hezbollah against launching a cross-border assault, saying it could drag Lebanon, which suffered its own civil war from 1975 to 1990, further into the Syrian conflict.
The Syrian army, along with Hezbollah, has regained much of the strategic Qalamoun region north of Damascus since last year. But hundreds of Syrian jihadist rebels have retreated to the mountains to conduct guerilla hit-and-run attacks.