The public service broadcaster engaged in a "major breach" of media regulations by failing to disclose that the voice of a programme about Gaza was the offspring of a Hamas official, as ruled by British broadcasting authority Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had previously apologised, saying there had been "a major oversight in relation to factual correctness".
The authority has ordered the corporation to air a prime-time statement about its decisions.
"Given this constitutes a serious breach of our regulations, we are ordering the BBC to air a message of our findings against it on the BBC's second channel at 21:00, with a date to be finalised," the statement read.
'Potential to Damage Confidence'
The authority's statement stated: "Our probe found that the programme's failure to disclose that the presenter's parent held a position in the Hamas-run administration was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been very significant to their assessment of the narrator and the details he presented.
"Credibility is at the core of the bond between a television network and its public, especially for a public service broadcaster such as the public broadcaster.
"This failing had the possibility to erode the exceptionally strong amounts of confidence that audiences would have put in a BBC factual programme about the conflict in Gaza."
The programme was withdrawn from iPlayer in the month of February after the narrator's family links emerged, and in July an broadcaster's internal assessment determined it infringed the corporation's content policies on truthfulness.
A corporation official stated: "The Ofcom ruling is in accordance with the results of the internal assessment, that there was a major oversight in the film in relation to the corporation's content standards on accuracy, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with the authority's determination in complete. We will adhere to the sanction as soon as the schedule and language are determined."
