The public service broadcaster committed a "serious breach" of media regulations by failing to disclose that the narrator of a programme about Gaza was the offspring of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a significant failing in relation to factual correctness".
The regulator has directed the broadcaster to transmit a prime-time statement about its decisions.
"Given this constitutes a major infringement of our rules, we are ordering the broadcaster to air a message of our findings against it on BBC Two at 21:00, with a timing to be finalised," the regulator stated.
'Potential to Damage Credibility'
The authority's report said: "Our probe determined that the documentary's lack of disclosure that the voice's father served in a role in the Hamas-run government was significantly deceptive.
"It meant that the viewers did not have critical information which may have been highly relevant to their assessment of the narrator and the details he presented.
"Credibility is at the heart of the relationship between a television network and its audience, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the possibility to undermine the very considerable degrees of credibility that audiences would have put in a BBC factual programme about the conflict in Gaza."
The film was pulled from iPlayer in the month of February after the presenter's familial connections emerged, and in the month of July an broadcaster's internal assessment found it infringed the corporation's journalistic standards on truthfulness.
A corporation official stated: "The authority's determination is in accordance with the conclusions of Peter Johnston's review, that there was a significant failing in the programme in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with Ofcom's decision in its entirety. We will adhere to the penalty as soon as the timing and language are finalised."
