The public service broadcaster committed a "significant breach" of industry standards by failing to disclose that the voice of a programme about Gaza was the son of a Hamas official, as determined by UK media regulator Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to factual correctness".
The regulator has ordered the BBC to air a evening announcement about its findings.
"Since this amounts to a major infringement of our regulations, we are directing the corporation to air a statement of our conclusions against it on the BBC's second channel at 9pm, with a date to be finalised," the statement read.
'Potential to Undermine Trust'
The regulator's statement declared: "Our investigation found that the documentary's failure to disclose that the narrator's parent served in a role in the Hamas-run government was substantially inaccurate.
"This implied that the public did not have essential details which may have been highly relevant to their evaluation of the voice and the content he provided.
"Confidence is at the heart of the relationship between a media organization and its public, particularly for a public service broadcaster such as the public broadcaster.
"This error had the risk to damage the exceptionally strong degrees of trust that audiences would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was withdrawn from the BBC's streaming service in the month of February after the narrator's family links were revealed, and in July an internal BBC review concluded it infringed the broadcaster's journalistic standards on truthfulness.
A representative for the broadcaster commented: "The authority's determination is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the authority's determination in full. We will adhere to the penalty as soon as the timing and wording are finalised."
