Iran has long claimed it managed to reverse-engineer the RQ-170 Sentinel, and that it's now capable of launching its own production line for the unmanned aircraft.
The video aired late Wednesday on Iranian shows an aerial view of an airport and a city, said to be a U.S. drone base and Kandahar, Afghanistan.
"We were able to definitively access the data of the drone, once we brought it down," said the chief of the Revolutionary Guard's airspace division, Gen. Amir Ali Hajizadeh, in the TV broadcast.
In an attempt to embarrass Washington, Iran has claimed to have captured several American drones, most recently in December, when Tehran said it seized a Boeing-designed ScanEagle drone — a less sophisticated aircraft — after it entered Iranian airspace over the Persian Gulf.
U.S. officials said there was no evidence that the latest claims were true.
Despite the tensions, American proposals for direct dialogue with Iran received a cautious welcome Sunday from Iran's Foreign Minister Ali Akbar Salehi. But he added caveats: Washington needs to quiet its "threatening rhetoric" for the offer to get real consideration by Tehran's ruling clerics.
All major decisions in Iran must be cleared by Khamenei, who has previously opposed direct negotiations with Washington and has shown no inclination of changing his positions.
"Talks will not solve any problems," Khamenei said in the statement posted Thursday following a meeting with air force commanders.
"You are holding a gun against Iran saying, 'Talks or you'll fire.' The Iranian nation will not be frightened by such threats," he added in apparent reference to U.S. sanctions over Iran's nuclear efforts.
Washington has indicated in the past that it's prepared to talk directly with Iran on the nuclear issue, but so far nothing has come of it. Meanwhile, the wider talks between Iran and world powers have made little headway. Three rounds last year ended in stalemate with Tehran pushing for a roll back of Western sanctions in exchange for any key concessions on its nuclear program.