The corporation has called on the Taliban to “reverse their decision”, claiming the service reaches six million Afghans weekly.
The Taliban were ousted in 2001 by a US-led coalition, but swept back into power last August following America’s chaotic end to 20 years of war in Afghanistan.
Tarik Kafala, head of languages, BBC World Service, said: “This is a worrying development at a time of uncertainty and turbulence for the people of Afghanistan.
“More than six million Afghans consume the BBC’s independent and impartial journalism on TV every week and it is crucial they are not denied access to it in the future.
“We call on the Taliban to reverse their decision and allow our TV partners to return the BBC’s news bulletins to their airwaves immediately.”