The British broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the voice of a programme about Gaza was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a significant failing in relation to factual correctness".
The authority has directed the broadcaster to broadcast a prime-time declaration about its conclusions.
"Given this constitutes a serious breach of our rules, we are ordering the corporation to transmit a statement of our findings against it on BBC Two at nine o'clock in the evening, with a timing to be confirmed," the regulator stated.
'Risk to Undermine Confidence'
The regulator's statement said: "Our investigation determined that the documentary's failure to disclose that the presenter's parent occupied a position in the Hamas-controlled administration was substantially inaccurate.
"This implied that the public did not have vital facts which may have been extremely pertinent to their judgment of the presenter and the details he presented.
"Credibility is at the heart of the connection between a television network and its audience, particularly for a national broadcasting corporation such as the BBC.
"This failing had the possibility to undermine the exceptionally strong amounts of trust that the public would have invested in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from the online platform in February after the presenter's personal associations emerged, and in this past July an broadcaster's internal assessment found it violated the broadcaster's content policies on accuracy.
A corporation official commented: "The regulator's decision is in line with the findings of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with Ofcom's decision in full. We will comply with the penalty as soon as the schedule and language are finalised."
