The report said the server was wired to antennae aimed in the direction of Israel, and that all of the equipment was confiscated.
The Lebanese OTV network, owned by politician Michel Aoun, reported that the army had broken into a structure in Jabal al-Baruch in April and found equipment suspected of serving Israeli intelligence.
The report said the army had intervened after receiving intelligence regarding an "illegal internet company" operating within its borders.
The alleged discovery is the most recent victory claimed by Hezbollah in its current battle against what it claims are Israeli espionage rings operating in Lebanon.
The organization also boasts the arrest of dozens of alleged spies, one of whom was recently sentenced to life in prison by a Lebanese military court.