Yoland Knell of the BBC reported on a blurry video produced by the Israeli army allegedly showing the interception of three hostile drones.
It is believed that a firejet destroyed one drone, and ship-mounted missiles destroyed two others.
The dispute between Israel and Lebanon over control of the Karish gas field has continued to escalate.
Israel asserts that the field falls within its territorial seas and not in contested territory, subject to US mediator negotiations on the maritime border's position.
Knell stated that Lebanon disagrees and has opposed efforts to begin gas extraction.
In a brief statement, Hezbollah, a Lebanese Islamist organization, revealed that it had launched the drones.
It claimed that it had targeted the platform during a reconnaissance mission.
According to the statement, the mission was fulfilled, and the message was delivered.
Hassan Nasrallah, the group leader, warned last week to use force to prevent Israel from operating the rig.
Benny Gantz, the Israeli minister of defense, stated that the Islamist organization was "preventing the state of Lebanon from reaching an agreement regarding maritime borders, which are critical to the economy and prosperity of the Lebanese nation."
The alleged attack by Hezbollah occurs amid political uncertainty in Israel.
On Thursday, legislators voted to dissolve the legislature and call for the fifth election in four years.
The vote, which follows the collapse of Israeli prime minister Naftali Bennett's multi-party coalition, gives right-wing opposition leader Benjamin Netanyahu a chance to return to power.