Anatoly Klyan, a 68-year-old cameraman, was among a group of Russian journalists on a reporting trip with the insurgents, the TV channel said.
"Once on site, shots rang out from the soldiers' side. Anatoly Klyan was mortally wounded in the stomach," said the channel.
The driver of the bus transporting the journalists was wounded and in hospital this morning, said a reporter from Russian news channel Rossiya 24.
Klyan had worked 40 years for the Russian channel and had carried out several missions in difficult conditions, his employer said.
Italian photographer Andrea Rocchelli and his Russian assistant Andrei Mironov were killed also killed in the restive region in late May.