The British broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the voice of a documentary about the Gaza situation was the offspring 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 programme was "substantially inaccurate".
The BBC's director general had already issued an apology, noting there had been "a serious error in relation to accuracy".
The authority has instructed the BBC to transmit a prime-time announcement about its conclusions.
"Given this constitutes a major infringement of our regulations, we are ordering the corporation to broadcast a statement of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be confirmed," the regulator stated.
'Potential to Damage Confidence'
The watchdog's report stated: "Our investigation determined that the film's lack of disclosure that the narrator's parent served in a role in the Hamas-run authority was substantially inaccurate.
"This implied that the public did not have critical information which may have been highly relevant to their assessment of the narrator and the content he shared.
"Credibility is at the heart of the relationship between a television network and its viewers, notably for a national broadcasting corporation such as the public broadcaster.
"This failing had the potential to erode the exceptionally strong amounts of confidence that the public would have invested in a BBC factual programme about the conflict in Gaza."
The film was removed from iPlayer in the month of February after the presenter's family links emerged, and in this past July an broadcaster's internal assessment determined it violated the organization's editorial guidelines on truthfulness.
A BBC spokesperson said: "The regulator's decision is in accordance with the findings of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on factual correctness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with Ofcom's decision in full. We will adhere to the penalty as soon as the timing and wording are determined."
