The incident took place in Al-Anoud neighborhood.
An eyewitness told the TV channel that two unidentified persons had first opened fire on passersby. After police arrived, the shooters took cover in a residential building, where they were gunned down by law enforcement officers within about 30 minutes.
Amid the shootout, security forces managed to evacuate people from the area.
Another witness, a local resident, said that the police had already cordoned off the area a few days ago while searching for the same two suspected terrorists.
Photos shared on Twitter show the car damaged in the clash between the police and the suspects.