The British broadcaster committed a "significant breach" of media regulations by omitting to mention that the narrator of a film about Gaza was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The head of the BBC had already issued an apology, saying there had been "a major oversight in relation to accuracy".
The regulator has ordered the BBC to transmit a peak-time announcement about its decisions.
"Given this constitutes a major infringement of our regulations, we are directing the corporation to broadcast a message of our conclusions against it on BBC Two at nine o'clock in the evening, with a timing to be determined," it said.
'Potential to Undermine Credibility'
The authority's announcement declared: "Our investigation concluded that the programme's omission to reveal that the voice's parent occupied a post in the Hamas-controlled authority was substantially inaccurate.
"It meant that the viewers did not have essential details which may have been very significant to their judgment of the narrator and the content he shared.
"Confidence is at the core of the connection between a broadcaster and its audience, notably for a national broadcasting corporation such as the public broadcaster.
"This oversight had the possibility to erode the significantly high amounts of credibility that viewers would have invested in a BBC factual programme about the Gaza conflict."
The film was pulled from the BBC's streaming service in the month of February after the presenter's family links emerged, and in the month of July an broadcaster's internal assessment concluded it infringed the organization's editorial guidelines on factual correctness.
A corporation official commented: "The authority's determination is in accordance with the findings of Peter Johnston's review, that there was a serious error in the documentary in relation to the broadcaster's journalistic policies on accuracy, which reflects clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the regulator's ruling in complete. We will follow the directive as soon as the date and language are finalised."
