The British broadcaster was found to have committed a "serious breach" of broadcasting rules by failing to disclose that the voice of a film about Gaza was the son of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The authority has directed the BBC to transmit a peak-time statement about its conclusions.
"Since this amounts to a significant violation of our code, we are ordering the broadcaster to air a statement of our determinations against it on the BBC's second channel at 21:00, with a date to be determined," the statement read.
'Possibility to Erode Confidence'
The regulator's announcement stated: "Our probe determined that the film's omission to reveal that the narrator's male guardian occupied a position in the Hamas-run authority was substantially inaccurate.
"This implied that the public did not have critical information which may have been extremely pertinent to their assessment of the presenter and the content he shared.
"Trust is at the core of the relationship between a media organization and its viewers, especially for a public service broadcaster such as the BBC.
"This failing had the risk to undermine the very considerable amounts of confidence that the public would have invested in a factual film from the broadcaster about the Gaza conflict."
The programme was removed from the BBC's streaming service in last February after the narrator's personal associations were revealed, and in the month of July an internal BBC review found it violated the organization's content policies on factual correctness.
A corporation official said: "The authority's determination is in accordance with the findings of the corporation's inquiry, that there was a significant failing in the film in relation to the corporation's content standards on factual correctness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the regulator's ruling in its entirety. We will comply with the penalty as soon as the date and wording are confirmed."
