The public service broadcaster engaged in a "major breach" of industry standards by failing to disclose that the voice of a programme about Gaza was the son of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a significant failing in relation to accuracy".
The authority has instructed the corporation to transmit a evening declaration about its conclusions.
"As this represents a serious breach of our rules, we are instructing the broadcaster to transmit a statement of our findings against it on the BBC's second channel at 21:00, with a schedule to be finalised," it said.
'Potential to Undermine Credibility'
The watchdog's announcement declared: "Our investigation found that the film's omission to reveal that the presenter's parent occupied a position in the Hamas-run administration was significantly deceptive.
"Consequently that the viewers did not have essential details which may have been very significant to their assessment of the presenter and the information he presented.
"Trust is at the core of the relationship between a television network and its audience, particularly for a national broadcasting corporation such as the BBC.
"This error had the risk to damage the exceptionally strong amounts of credibility that the public would have put in a factual film from the broadcaster about the conflict in Gaza."
The film was withdrawn from the online platform in February after the narrator's familial connections came to light, and in this past July an corporation's own inquiry found it violated the corporation's content policies on factual correctness.
A BBC spokesperson stated: "The Ofcom ruling is in agreement with the findings of Peter Johnston's review, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in its entirety. We will follow the penalty as soon as the date and wording are determined."