The British broadcaster committed a "serious breach" of broadcasting rules by not revealing that the presenter of a documentary about Gaza was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to accuracy".
Ofcom has ordered the broadcaster to transmit a peak-time announcement about its decisions.
"Given this constitutes a serious breach of our regulations, we are instructing the broadcaster to air a statement of our determinations against it on the BBC's second channel at 21:00, with a schedule to be finalised," the regulator stated.
'Risk to Undermine Confidence'
The authority's statement stated: "Our investigation found that the programme's failure to disclose that the voice's parent served in a role in the Hamas-controlled authority was significantly deceptive.
"It meant that the audience did not have essential details which may have been highly relevant to their assessment of the narrator and the information he provided.
"Credibility is at the core of the connection between a media organization and its viewers, notably for a state-funded media outlet such as the public broadcaster.
"This error had the possibility to undermine the significantly high amounts of trust that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The programme was removed from iPlayer in February after the presenter's familial connections came to light, and in July an broadcaster's internal assessment found it violated the broadcaster's editorial guidelines on factual correctness.
A BBC spokesperson said: "The Ofcom ruling is in line with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on accuracy, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with Ofcom's decision in full. We will adhere to the directive as soon as the schedule and wording are determined."